415557480 has 192 divisors, whose sum is σ = 1395601920. Its totient is φ = 98841600.

The previous prime is 415557463. The next prime is 415557523. The reversal of 415557480 is 84755514.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 628350 + ... + 629010.

It is an arithmetic number, because the mean of its divisors is an integer number (7268760).

Almost surely, 2^415557480 is an apocalyptic number.

415557480 is a gapful number since it is divisible by the number (40) 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 415557480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697800960).

415557480 is an abundant number, since it is smaller than the sum of its proper divisors (980044440).

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

415557480 is a wasteful number, since it uses less digits than its factorization.

415557480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 39.

The square root of 415557480 is about 20385.2270038869. The cubic root of 415557480 is about 746.2374402012.

The spelling of 415557480 in words is "four hundred fifteen million, five hundred fifty-seven thousand, four hundred eighty".