416633952 has 96 divisors (see below), whose sum is σ = 1293062400. Its totient is φ = 114928128.

The previous prime is 416633951. The next prime is 416633953. The reversal of 416633952 is 259336614.

It is an interprime number because it is at equal distance from previous prime (416633951) and next prime (416633953).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 416633952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416633951) 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, 8799 + ... + 30177.

It is an arithmetic number, because the mean of its divisors is an integer number (13469400).

Almost surely, 2^416633952 is an apocalyptic number.

416633952 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 416633952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646531200).

416633952 is an abundant number, since it is smaller than the sum of its proper divisors (876428448).

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

416633952 is a wasteful number, since it uses less digits than its factorization.

416633952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21428 (or 21420 counting only the distinct ones).

The product of its digits is 116640, while the sum is 39.

The square root of 416633952 is about 20411.6131650588. The cubic root of 416633952 is about 746.8812428929.

The spelling of 416633952 in words is "four hundred sixteen million, six hundred thirty-three thousand, nine hundred fifty-two".