407552040 has 512 divisors, whose sum is σ = 1680998400. Its totient is φ = 85847040.

The previous prime is 407552029. The next prime is 407552059. The reversal of 407552040 is 40255704.

407552040 is a `hidden beast` number, since 407 + 55 + 204 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 407551995 and 407552013.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8671297 + ... + 8671343.

It is an arithmetic number, because the mean of its divisors is an integer number (3283200).

Almost surely, 2^407552040 is an apocalyptic number.

407552040 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 407552040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840499200).

407552040 is an abundant number, since it is smaller than the sum of its proper divisors (1273446360).

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

407552040 is a wasteful number, since it uses less digits than its factorization.

407552040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 407552040 is about 20187.9181690436. The cubic root of 407552040 is about 741.4144119337.

The spelling of 407552040 in words is "four hundred seven million, five hundred fifty-two thousand, forty".