400804992 has 192 divisors, whose sum is σ = 1376069760. Its totient is φ = 109486080.

The previous prime is 400804991. The next prime is 400804993. The reversal of 400804992 is 299408004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (400804991) and next prime (400804993).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×400804992² = 321289283224240128, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (400804991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184392 + ... + 186552.

It is an arithmetic number, because the mean of its divisors is an integer number (7167030).

Almost surely, 2^400804992 is an apocalyptic number.

400804992 is a gapful number since it is divisible by the number (42) 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 400804992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688034880).

400804992 is an abundant number, since it is smaller than the sum of its proper divisors (975264768).

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

400804992 is a wasteful number, since it uses less digits than its factorization.

400804992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 400804992 is about 20020.1146849862. The cubic root of 400804992 is about 737.3002378433.

The spelling of 400804992 in words is "four hundred million, eight hundred four thousand, nine hundred ninety-two".