400101264 has 30 divisors (see below), whose sum is σ = 1119728246. Its totient is φ = 133367040.

The previous prime is 400101263. The next prime is 400101301. The reversal of 400101264 is 462101004.

400101264 is a `hidden beast` number, since 400 + 1 + 0 + 1 + 264 = 666.

It can be written as a sum of positive squares in only one way, i.e., 361760400 + 38340864 = 19020^2 + 6192^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (400101263) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1389097 + ... + 1389384.

Almost surely, 2^400101264 is an apocalyptic number.

It is an amenable number.

400101264 is an abundant number, since it is smaller than the sum of its proper divisors (719626982).

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

400101264 is a wasteful number, since it uses less digits than its factorization.

400101264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778495 (or 2778486 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 400101264 is about 20002.5314397953. The cubic root of 400101264 is about 736.8684711095.

Adding to 400101264 its reverse (462101004), we get a palindrome (862202268).

The spelling of 400101264 in words is "four hundred million, one hundred one thousand, two hundred sixty-four".