400273920 has 160 divisors (see below), whose sum is σ = 1422051840. Its totient is φ = 106721280.

The previous prime is 400273919. The next prime is 400273933. The reversal of 400273920 is 29372004.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×400273920² = 320438422064332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66225 + ... + 72015.

It is an arithmetic number, because the mean of its divisors is an integer number (8887824).

Almost surely, 2^400273920 is an apocalyptic number.

400273920 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 400273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711025920).

400273920 is an abundant number, since it is smaller than the sum of its proper divisors (1021777920).

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

400273920 is an equidigital number, since it uses as much as digits as its factorization.

400273920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5823 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 400273920 is about 20006.8468280237. The cubic root of 400273920 is about 736.9744496689.

The spelling of 400273920 in words is "four hundred million, two hundred seventy-three thousand, nine hundred twenty".