416333952 has 128 divisors (see below), whose sum is σ = 1237464000. Its totient is φ = 137797632.

The previous prime is 416333941. The next prime is 416333959. The reversal of 416333952 is 259333614.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 (416333959) 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, 618288 + ... + 618960.

Almost surely, 2^416333952 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 416333952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618732000).

416333952 is an abundant number, since it is smaller than the sum of its proper divisors (821130048).

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

416333952 is a wasteful number, since it uses less digits than its factorization.

416333952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 857 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 416333952 is about 20404.2630839734. The cubic root of 416333952 is about 746.7019342752.

The spelling of 416333952 in words is "four hundred sixteen million, three hundred thirty-three thousand, nine hundred fifty-two".