400132152 has 96 divisors (see below), whose sum is σ = 1243831680. Its totient is φ = 113832000.

The previous prime is 400132151. The next prime is 400132177. The reversal of 400132152 is 251231004.

It is a super-2 number, since 2×400132152² = 320211478128302208, which contains 22 as substring.

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 (400132151) 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, 124923 + ... + 128085.

It is an arithmetic number, because the mean of its divisors is an integer number (12956580).

Almost surely, 2^400132152 is an apocalyptic number.

400132152 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 400132152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621915840).

400132152 is an abundant number, since it is smaller than the sum of its proper divisors (843699528).

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

400132152 is a wasteful number, since it uses less digits than its factorization.

400132152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 400132152 is about 20003.3035271677. The cubic root of 400132152 is about 736.8874328156.

Adding to 400132152 its reverse (251231004), we get a palindrome (651363156).

The spelling of 400132152 in words is "four hundred million, one hundred thirty-two thousand, one hundred fifty-two".