401631072 has 48 divisors (see below), whose sum is σ = 1055436480. Its totient is φ = 133730432.

The previous prime is 401631059. The next prime is 401631077. The reversal of 401631072 is 270136104.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×401631072² = 322615035991738368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401631077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119203 + ... + 122525.

It is an arithmetic number, because the mean of its divisors is an integer number (21988260).

Almost surely, 2^401631072 is an apocalyptic number.

It is an amenable number.

401631072 is an abundant number, since it is smaller than the sum of its proper divisors (653805408).

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

401631072 is a wasteful number, since it uses less digits than its factorization.

401631072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 401631072 is about 20040.7353158511. The cubic root of 401631072 is about 737.8064283267.

Adding to 401631072 its reverse (270136104), we get a palindrome (671767176).

The spelling of 401631072 in words is "four hundred one million, six hundred thirty-one thousand, seventy-two".