1413642780 has 288 divisors, whose sum is σ = 5013485568. Its totient is φ = 331257600.

The previous prime is 1413642779. The next prime is 1413642781. The reversal of 1413642780 is 872463141.

1413642780 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 642 + 7 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1413642779) and next prime (1413642781).

It is a super-2 number, since 2×1413642780² = 3996771818892256800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413642781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1656834 + ... + 1657686.

It is an arithmetic number, because the mean of its divisors is an integer number (17407936).

Almost surely, 2^1413642780 is an apocalyptic number.

1413642780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413642780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506742784).

1413642780 is an abundant number, since it is smaller than the sum of its proper divisors (3599842788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1413642780 is a wasteful number, since it uses less digits than its factorization.

1413642780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1413642780 is about 37598.4411910920. The cubic root of 1413642780 is about 1122.3110178988.

The spelling of 1413642780 in words is "one billion, four hundred thirteen million, six hundred forty-two thousand, seven hundred eighty".