401628764 has 24 divisors (see below), whose sum is σ = 740947200. Its totient is φ = 189961200.

The previous prime is 401628763. The next prime is 401628769. The reversal of 401628764 is 467826104.

It is a super-2 number, since 2×401628764² = 322611328144335392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401628763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52589 + ... + 59739.

It is an arithmetic number, because the mean of its divisors is an integer number (30872800).

Almost surely, 2^401628764 is an apocalyptic number.

It is an amenable number.

401628764 is a deficient number, since it is larger than the sum of its proper divisors (339318436).

401628764 is a wasteful number, since it uses less digits than its factorization.

401628764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7913 (or 7911 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 401628764 is about 20040.6777330508. The cubic root of 401628764 is about 737.8050150392.

The spelling of 401628764 in words is "four hundred one million, six hundred twenty-eight thousand, seven hundred sixty-four".