407024005428 has 48 divisors (see below), whose sum is σ = 1091635272000. Its totient is φ = 130996230624.

The previous prime is 407024005343. The next prime is 407024005429. The reversal of 407024005428 is 824500420704.

407024005428 is a `hidden beast` number, since 4 + 0 + 70 + 2 + 40 + 0 + 542 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 407024005392 and 407024005401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407024005429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64975158 + ... + 64981421.

It is an arithmetic number, because the mean of its divisors is an integer number (22742401500).

Almost surely, 2^407024005428 is an apocalyptic number.

It is an amenable number.

407024005428 is an abundant number, since it is smaller than the sum of its proper divisors (684611266572).

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

407024005428 is a wasteful number, since it uses less digits than its factorization.

407024005428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129956621 (or 129956613 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 407024005428 in words is "four hundred seven billion, twenty-four million, five thousand, four hundred twenty-eight".