416542464 has 108 divisors (see below), whose sum is σ = 1293471816. Its totient is φ = 128157696.

The previous prime is 416542459. The next prime is 416542499. The reversal of 416542464 is 464245614.

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

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, 22999 + ... + 36905.

Almost surely, 2^416542464 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 416542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646735908).

416542464 is an abundant number, since it is smaller than the sum of its proper divisors (876929352).

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

416542464 is a wasteful number, since it uses less digits than its factorization.

416542464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13942 (or 13925 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 416542464 is about 20409.3719648597. The cubic root of 416542464 is about 746.8265700616.

The spelling of 416542464 in words is "four hundred sixteen million, five hundred forty-two thousand, four hundred sixty-four".