416925360 has 160 divisors (see below), whose sum is σ = 1511808000. Its totient is φ = 105318144.

The previous prime is 416925359. The next prime is 416925367. The reversal of 416925360 is 63529614.

It is a happy number.

It is a super-2 number, since 2×416925360² = 347653511622259200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (416925367) 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, 35961 + ... + 46119.

It is an arithmetic number, because the mean of its divisors is an integer number (9448800).

Almost surely, 2^416925360 is an apocalyptic number.

416925360 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 416925360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755904000).

416925360 is an abundant number, since it is smaller than the sum of its proper divisors (1094882640).

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

416925360 is a wasteful number, since it uses less digits than its factorization.

416925360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10200 (or 10188 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 416925360 is about 20418.7502066116. The cubic root of 416925360 is about 747.0553337182.

The spelling of 416925360 in words is "four hundred sixteen million, nine hundred twenty-five thousand, three hundred sixty".