631329444 has 96 divisors (see below), whose sum is σ = 1671425280. Its totient is φ = 206035200.

The previous prime is 631329431. The next prime is 631329467. The reversal of 631329444 is 444923136.

631329444 = T₄₄₇ + T₄₄₈ + ... + T₁₅₇₀.

It is a happy number.

It is a super-2 number, since 2×631329444² = 797153733722698272, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 631329399 and 631329408.

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, 2154562 + ... + 2154854.

It is an arithmetic number, because the mean of its divisors is an integer number (17410680).

Almost surely, 2^631329444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631329444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835712640).

631329444 is an abundant number, since it is smaller than the sum of its proper divisors (1040095836).

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

631329444 is a wasteful number, since it uses less digits than its factorization.

631329444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 650 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 631329444 is about 25126.2699977533. The cubic root of 631329444 is about 857.8644707442.

The spelling of 631329444 in words is "six hundred thirty-one million, three hundred twenty-nine thousand, four hundred forty-four".