415900368 has 240 divisors, whose sum is σ = 1332414720. Its totient is φ = 120185856.

The previous prime is 415900363. The next prime is 415900369. The reversal of 415900368 is 863009514.

415900368 is a `hidden beast` number, since 4 + 1 + 590 + 0 + 3 + 68 = 666.

It is a super-2 number, since 2×415900368² = 345946232205070848, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415900363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2551455 + ... + 2551617.

It is an arithmetic number, because the mean of its divisors is an integer number (5551728).

Almost surely, 2^415900368 is an apocalyptic number.

415900368 is a gapful number since it is divisible by the number (48) 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 415900368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666207360).

415900368 is an abundant number, since it is smaller than the sum of its proper divisors (916514352).

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

415900368 is a wasteful number, since it uses less digits than its factorization.

415900368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 415900368 is about 20393.6354777661. The cubic root of 415900368 is about 746.4426308436.

The spelling of 415900368 in words is "four hundred fifteen million, nine hundred thousand, three hundred sixty-eight".