413737632 has 288 divisors, whose sum is σ = 1523418624. Its totient is φ = 107308800.

The previous prime is 413737613. The next prime is 413737633. The reversal of 413737632 is 236737314.

413737632 is a `hidden beast` number, since 4 + 13 + 7 + 3 + 7 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (413737633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 598407 + ... + 599097.

It is an arithmetic number, because the mean of its divisors is an integer number (5289648).

Almost surely, 2^413737632 is an apocalyptic number.

413737632 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 413737632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761709312).

413737632 is an abundant number, since it is smaller than the sum of its proper divisors (1109680992).

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

413737632 is a wasteful number, since it uses less digits than its factorization.

413737632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 714 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 413737632 is about 20340.5415857101. The cubic root of 413737632 is about 745.1465153334.

The spelling of 413737632 in words is "four hundred thirteen million, seven hundred thirty-seven thousand, six hundred thirty-two".