401520672 has 192 divisors, whose sum is σ = 1349187840. Its totient is φ = 113799168.

The previous prime is 401520653. The next prime is 401520697. The reversal of 401520672 is 276025104.

It is a super-2 number, since 2×401520672² = 322437700086663168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1191288 + ... + 1191624.

It is an arithmetic number, because the mean of its divisors is an integer number (7027020).

Almost surely, 2^401520672 is an apocalyptic number.

401520672 is a gapful number since it is divisible by the number (42) 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 401520672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674593920).

401520672 is an abundant number, since it is smaller than the sum of its proper divisors (947667168).

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

401520672 is a wasteful number, since it uses less digits than its factorization.

401520672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 401520672 is about 20037.9807365912. The cubic root of 401520672 is about 737.7388196016.

Adding to 401520672 its reverse (276025104), we get a palindrome (677545776).

The spelling of 401520672 in words is "four hundred one million, five hundred twenty thousand, six hundred seventy-two".