407969152 has 32 divisors (see below), whose sum is σ = 818244000. Its totient is φ = 202606080.

The previous prime is 407969117. The next prime is 407969161. The reversal of 407969152 is 251969704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 407969099 and 407969108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8377 + ... + 29767.

It is an arithmetic number, because the mean of its divisors is an integer number (25570125).

Almost surely, 2^407969152 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 407969152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409122000).

407969152 is an abundant number, since it is smaller than the sum of its proper divisors (410274848).

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

407969152 is a wasteful number, since it uses less digits than its factorization.

407969152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21554 (or 21542 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 407969152 is about 20198.2462605049. The cubic root of 407969152 is about 741.6672609570.

The spelling of 407969152 in words is "four hundred seven million, nine hundred sixty-nine thousand, one hundred fifty-two".