400817160 has 320 divisors, whose sum is σ = 1505433600. Its totient is φ = 95053824.

The previous prime is 400817099. The next prime is 400817161. The reversal of 400817160 is 61718004.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (400817161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1046329 + ... + 1046711.

It is an arithmetic number, because the mean of its divisors is an integer number (4704480).

Almost surely, 2^400817160 is an apocalyptic number.

400817160 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 400817160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752716800).

400817160 is an abundant number, since it is smaller than the sum of its proper divisors (1104616440).

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

400817160 is a wasteful number, since it uses less digits than its factorization.

400817160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 400817160 is about 20020.4185770428. The cubic root of 400817160 is about 737.3076989767.

The spelling of 400817160 in words is "four hundred million, eight hundred seventeen thousand, one hundred sixty".