415132000 has 96 divisors (see below), whose sum is σ = 1035871200. Its totient is φ = 163468800.

The previous prime is 415131989. The next prime is 415132001. The reversal of 415132000 is 231514.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415132001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267226 + ... + 268774.

It is an arithmetic number, because the mean of its divisors is an integer number (10790325).

Almost surely, 2^415132000 is an apocalyptic number.

415132000 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 415132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517935600).

415132000 is an abundant number, since it is smaller than the sum of its proper divisors (620739200).

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

415132000 is a wasteful number, since it uses less digits than its factorization.

415132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 415132000 is about 20374.7883424589. The cubic root of 415132000 is about 745.9826679603.

Adding to 415132000 its reverse (231514), we get a palindrome (415363514).

The spelling of 415132000 in words is "four hundred fifteen million, one hundred thirty-two thousand".