406979273232 has 280 divisors, whose sum is σ = 1358648665920. Its totient is φ = 115633163520.

The previous prime is 406979273227. The next prime is 406979273251. The reversal of 406979273232 is 232372979604.

406979273232 is a `hidden beast` number, since 406 + 97 + 92 + 7 + 32 + 32 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14764519 + ... + 14792057.

It is an arithmetic number, because the mean of its divisors is an integer number (4852316664).

Almost surely, 2^406979273232 is an apocalyptic number.

406979273232 is a gapful number since it is divisible by the number (42) 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 406979273232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679324332960).

406979273232 is an abundant number, since it is smaller than the sum of its proper divisors (951669392688).

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

406979273232 is a wasteful number, since it uses less digits than its factorization.

406979273232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27753 (or 27732 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 406979273232 in words is "four hundred six billion, nine hundred seventy-nine million, two hundred seventy-three thousand, two hundred thirty-two".