407087454956 has 384 divisors, whose sum is σ = 979147008000. Its totient is φ = 146638356480.

The previous prime is 407087454931. The next prime is 407087454971. The reversal of 407087454956 is 659454780704.

It is a junction number, because it is equal to n+sod(n) for n = 407087454895 and 407087454904.

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, 1153222076 + ... + 1153222428.

It is an arithmetic number, because the mean of its divisors is an integer number (2549862000).

Almost surely, 2^407087454956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407087454956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489573504000).

407087454956 is an abundant number, since it is smaller than the sum of its proper divisors (572059553044).

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

407087454956 is a wasteful number, since it uses less digits than its factorization.

407087454956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 59.

The spelling of 407087454956 in words is "four hundred seven billion, eighty-seven million, four hundred fifty-four thousand, nine hundred fifty-six".