401338624 has 18 divisors (see below), whose sum is σ = 801110030. Its totient is φ = 200669184.

The previous prime is 401338621. The next prime is 401338649. The reversal of 401338624 is 426833104.

It can be written as a sum of positive squares in only one way, i.e., 401281024 + 57600 = 20032^2 + 240^2 .

It is a super-2 number, since 2×401338624² = 322145382228426752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401338621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 783609 + ... + 784120.

Almost surely, 2^401338624 is an apocalyptic number.

It is an amenable number.

401338624 is a deficient number, since it is larger than the sum of its proper divisors (399771406).

401338624 is an equidigital number, since it uses as much as digits as its factorization.

401338624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567745 (or 1567731 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 401338624 is about 20033.4376480923. The cubic root of 401338624 is about 737.6273067218.

The spelling of 401338624 in words is "four hundred one million, three hundred thirty-eight thousand, six hundred twenty-four".