401293764 has 60 divisors (see below), whose sum is σ = 1085261100. Its totient is φ = 129148992.

The previous prime is 401293757. The next prime is 401293769. The reversal of 401293764 is 467392104.

It can be written as a sum of positive squares in 2 ways, for example, as 149817600 + 251476164 = 12240^2 + 15858^2 .

It is a super-2 number, since 2×401293764² = 322073370050575392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (401293769) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11959 + ... + 30750.

It is an arithmetic number, because the mean of its divisors is an integer number (18087685).

Almost surely, 2^401293764 is an apocalyptic number.

It is an amenable number.

401293764 is an abundant number, since it is smaller than the sum of its proper divisors (683967336).

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

401293764 is a wasteful number, since it uses less digits than its factorization.

401293764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42754 (or 42743 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 401293764 is about 20032.3179886902. The cubic root of 401293764 is about 737.5998227038.

The spelling of 401293764 in words is "four hundred one million, two hundred ninety-three thousand, seven hundred sixty-four".