401364304 has 80 divisors (see below), whose sum is σ = 872104896. Its totient is φ = 177408000.

The previous prime is 401364277. The next prime is 401364331. The reversal of 401364304 is 403463104.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (401364277) and next prime (401364331).

It is a super-2 number, since 2×401364304² = 322186609050808832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1190824 + ... + 1191160.

Almost surely, 2^401364304 is an apocalyptic number.

401364304 is a gapful number since it is divisible by the number (44) 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 401364304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436052448).

401364304 is an abundant number, since it is smaller than the sum of its proper divisors (470740592).

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

401364304 is a wasteful number, since it uses less digits than its factorization.

401364304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 401364304 is about 20034.0785662830. The cubic root of 401364304 is about 737.6430389606.

The spelling of 401364304 in words is "four hundred one million, three hundred sixty-four thousand, three hundred four".