407941632 has 120 divisors (see below), whose sum is σ = 1345646016. Its totient is φ = 116545536.

The previous prime is 407941631. The next prime is 407941643. The reversal of 407941632 is 236149704.

407941632 is a `hidden beast` number, since 407 + 94 + 163 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (407941631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25933 + ... + 38579.

Almost surely, 2^407941632 is an apocalyptic number.

407941632 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 407941632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672823008).

407941632 is an abundant number, since it is smaller than the sum of its proper divisors (937704384).

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

407941632 is a wasteful number, since it uses less digits than its factorization.

407941632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12678 (or 12659 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 407941632 is about 20197.5650017521. The cubic root of 407941632 is about 741.6505839265.

The spelling of 407941632 in words is "four hundred seven million, nine hundred forty-one thousand, six hundred thirty-two".