416133504 has 96 divisors (see below), whose sum is σ = 1231721400. Its totient is φ = 138311424.

The previous prime is 416133479. The next prime is 416133511. The reversal of 416133504 is 405331614.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

416133504 is a `hidden beast` number, since 41 + 613 + 3 + 5 + 0 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1199059 + ... + 1199405.

Almost surely, 2^416133504 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 416133504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615860700).

416133504 is an abundant number, since it is smaller than the sum of its proper divisors (815587896).

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

416133504 is an frugal number, since it uses more digits than its factorization.

416133504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 416133504 is about 20399.3505778983. The cubic root of 416133504 is about 746.5820794200.

The spelling of 416133504 in words is "four hundred sixteen million, one hundred thirty-three thousand, five hundred four".