400630920 has 128 divisors (see below), whose sum is σ = 1232064000. Its totient is φ = 104186880.

The previous prime is 400630907. The next prime is 400630921. The reversal of 400630920 is 29036004.

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

It is not an unprimeable number, because it can be changed into a prime (400630921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1676161 + ... + 1676399.

It is an arithmetic number, because the mean of its divisors is an integer number (9625500).

Almost surely, 2^400630920 is an apocalyptic number.

400630920 is a gapful number since it is divisible by the number (40) 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 400630920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616032000).

400630920 is an abundant number, since it is smaller than the sum of its proper divisors (831433080).

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

400630920 is a wasteful number, since it uses less digits than its factorization.

400630920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 400630920 is about 20015.7667852121. The cubic root of 400630920 is about 737.1934844228.

Adding to 400630920 its reverse (29036004), we get a palindrome (429666924).

The spelling of 400630920 in words is "four hundred million, six hundred thirty thousand, nine hundred twenty".