406137952 has 36 divisors (see below), whose sum is σ = 878890068. Its totient is φ = 184606400.

The previous prime is 406137943. The next prime is 406137983. The reversal of 406137952 is 259731604.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 48574 + ... + 56317.

It is an arithmetic number, because the mean of its divisors is an integer number (24413613).

Almost surely, 2^406137952 is an apocalyptic number.

It is an amenable number.

406137952 is an abundant number, since it is smaller than the sum of its proper divisors (472752116).

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

406137952 is a wasteful number, since it uses less digits than its factorization.

406137952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104923 (or 104904 counting only the distinct ones).

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

The square root of 406137952 is about 20152.8646102732. The cubic root of 406137952 is about 740.5559202235. Note that the first 3 decimals are identical.

The spelling of 406137952 in words is "four hundred six million, one hundred thirty-seven thousand, nine hundred fifty-two".