400164768 has 216 divisors, whose sum is σ = 1264362372. Its totient is φ = 119549952.

The previous prime is 400164763. The next prime is 400164769. The reversal of 400164768 is 867461004.

400164768 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 647 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 346406544 + 53758224 = 18612^2 + 7332^2 .

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 (400164761) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8514121 + ... + 8514167.

Almost surely, 2^400164768 is an apocalyptic number.

400164768 is a gapful number since it is divisible by the number (48) 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 400164768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632181186).

400164768 is an abundant number, since it is smaller than the sum of its proper divisors (864197604).

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

400164768 is a wasteful number, since it uses less digits than its factorization.

400164768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 400164768 is about 20004.1187758921. The cubic root of 400164768 is about 736.9074542572.

The spelling of 400164768 in words is "four hundred million, one hundred sixty-four thousand, seven hundred sixty-eight".