406372512 has 192 divisors, whose sum is σ = 1325286144. Its totient is φ = 106168320.

The previous prime is 406372511. The next prime is 406372543. The reversal of 406372512 is 215273604.

It is a self number, because there is not a number n which added to its sum of digits gives 406372512.

It is not an unprimeable number, because it can be changed into a prime (406372511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1581088 + ... + 1581344.

It is an arithmetic number, because the mean of its divisors is an integer number (6902532).

Almost surely, 2^406372512 is an apocalyptic number.

406372512 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 406372512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662643072).

406372512 is an abundant number, since it is smaller than the sum of its proper divisors (918913632).

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

406372512 is a wasteful number, since it uses less digits than its factorization.

406372512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 406372512 is about 20158.6832903342. The cubic root of 406372512 is about 740.6984591204.

The spelling of 406372512 in words is "four hundred six million, three hundred seventy-two thousand, five hundred twelve".