1413646920 has 192 divisors, whose sum is σ = 5325315840. Its totient is φ = 318528000.

The previous prime is 1413646919. The next prime is 1413646931. The reversal of 1413646920 is 296463141.

1413646920 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 646 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×1413646920² = 3996795228850972800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174970 + ... + 182870.

It is an arithmetic number, because the mean of its divisors is an integer number (27736020).

Almost surely, 2^1413646920 is an apocalyptic number.

1413646920 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 1413646920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662657920).

1413646920 is an abundant number, since it is smaller than the sum of its proper divisors (3911668920).

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

1413646920 is a wasteful number, since it uses less digits than its factorization.

1413646920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7996 (or 7989 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1413646920 is about 37598.4962465256. The cubic root of 1413646920 is about 1122.3121134993.

The spelling of 1413646920 in words is "one billion, four hundred thirteen million, six hundred forty-six thousand, nine hundred twenty".