400420944 has 360 divisors, whose sum is σ = 1457892800. Its totient is φ = 102453120.

The previous prime is 400420939. The next prime is 400420973. The reversal of 400420944 is 449024004.

It is a super-2 number, since 2×400420944² = 320673864787702272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5976399 + ... + 5976465.

Almost surely, 2^400420944 is an apocalyptic number.

400420944 is a gapful number since it is divisible by the number (44) 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 400420944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728946400).

400420944 is an abundant number, since it is smaller than the sum of its proper divisors (1057471856).

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

400420944 is a wasteful number, since it uses less digits than its factorization.

400420944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 400420944 is about 20010.5208328019. The cubic root of 400420944 is about 737.0646709419.

Adding to 400420944 its reverse (449024004), we get a palindrome (849444948).

The spelling of 400420944 in words is "four hundred million, four hundred twenty thousand, nine hundred forty-four".