406153792 has 56 divisors (see below), whose sum is σ = 881554752. Its totient is φ = 184128000.

The previous prime is 406153789. The next prime is 406153801. The reversal of 406153792 is 297351604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 493093 + ... + 493915.

Almost surely, 2^406153792 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 406153792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440777376).

406153792 is an abundant number, since it is smaller than the sum of its proper divisors (475400960).

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

406153792 is a wasteful number, since it uses less digits than its factorization.

406153792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 406153792 is about 20153.2576026805. The cubic root of 406153792 is about 740.5655477021.

The spelling of 406153792 in words is "four hundred six million, one hundred fifty-three thousand, seven hundred ninety-two".