1413753480 has 128 divisors (see below), whose sum is σ = 4875120000. Its totient is φ = 363992832.

The previous prime is 1413753479. The next prime is 1413753487. The reversal of 1413753480 is 843573141.

It is a happy number.

1413753480 is a `hidden beast` number, since 1 + 41 + 3 + 7 + 534 + 80 = 666.

It is a super-2 number, since 2×1413753480² = 3997397804424220800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1413753487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8751 + ... + 53889.

It is an arithmetic number, because the mean of its divisors is an integer number (38086875).

Almost surely, 2^1413753480 is an apocalyptic number.

1413753480 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 1413753480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437560000).

1413753480 is an abundant number, since it is smaller than the sum of its proper divisors (3461366520).

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

1413753480 is a wasteful number, since it uses less digits than its factorization.

1413753480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45188 (or 45178 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1413753480 is about 37599.9132977724. The cubic root of 1413753480 is about 1122.3403125666.

The spelling of 1413753480 in words is "one billion, four hundred thirteen million, seven hundred fifty-three thousand, four hundred eighty".