413957880 has 288 divisors, whose sum is σ = 1617632640. Its totient is φ = 91445760.

The previous prime is 413957857. The next prime is 413957917. The reversal of 413957880 is 88759314.

413957880 is a `hidden beast` number, since 41 + 39 + 578 + 8 + 0 = 666.

It is a super-2 number, since 2×413957880² = 342722252828188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 546462 + ... + 547218.

It is an arithmetic number, because the mean of its divisors is an integer number (5616780).

Almost surely, 2^413957880 is an apocalyptic number.

413957880 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 413957880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808816320).

413957880 is an abundant number, since it is smaller than the sum of its proper divisors (1203674760).

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

413957880 is a wasteful number, since it uses less digits than its factorization.

413957880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 413957880 is about 20345.9548805162. The cubic root of 413957880 is about 745.2787149882.

The spelling of 413957880 in words is "four hundred thirteen million, nine hundred fifty-seven thousand, eight hundred eighty".