406874473920 has 112 divisors (see below), whose sum is σ = 1435362757920. Its totient is φ = 108499857408.

The previous prime is 406874473807. The next prime is 406874473991. The reversal of 406874473920 is 29374478604.

406874473920 is a `hidden beast` number, since 4 + 0 + 6 + 87 + 4 + 473 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23537337 + ... + 23554616.

It is an arithmetic number, because the mean of its divisors is an integer number (12815738910).

Almost surely, 2^406874473920 is an apocalyptic number.

406874473920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406874473920 is an abundant number, since it is smaller than the sum of its proper divisors (1028488284000).

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

406874473920 is a wasteful number, since it uses less digits than its factorization.

406874473920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47091979 (or 47091963 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 406874473920 in words is "four hundred six billion, eight hundred seventy-four million, four hundred seventy-three thousand, nine hundred twenty".