400133052 has 72 divisors (see below), whose sum is σ = 1110345600. Its totient is φ = 120489120.

The previous prime is 400133009. The next prime is 400133057. The reversal of 400133052 is 250331004.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400133057) 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, 61449 + ... + 67647.

Almost surely, 2^400133052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400133052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555172800).

400133052 is an abundant number, since it is smaller than the sum of its proper divisors (710212548).

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

400133052 is a wasteful number, since it uses less digits than its factorization.

400133052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6383 (or 6378 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 400133052 is about 20003.3260234392. The cubic root of 400133052 is about 736.8879852982.

Adding to 400133052 its reverse (250331004), we get a palindrome (650464056).

The spelling of 400133052 in words is "four hundred million, one hundred thirty-three thousand, fifty-two".