400920 has 64 divisors (see below), whose sum is σ = 1300320. Its totient is φ = 98304.

The previous prime is 400903. The next prime is 400927. The reversal of 400920 is 29004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 400920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1432 + ... + 1688.

2⁴⁰⁰⁹²⁰ is an apocalyptic number.

400920 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 400920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650160).

400920 is an abundant number, since it is smaller than the sum of its proper divisors (899400).

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

400920 is a wasteful number, since it uses less digits than its factorization.

400920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 400920 is about 633.1824381645. The cubic root of 400920 is about 73.7370752032.

Adding to 400920 its reverse (29004), we get a palindrome (429924).

The spelling of 400920 in words is "four hundred thousand, nine hundred twenty".