464405916 has 144 divisors (see below), whose sum is σ = 1239598080. Its totient is φ = 135083520.

The previous prime is 464405911. The next prime is 464405927. The reversal of 464405916 is 619504464.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464405911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5218000 + ... + 5218088.

It is an arithmetic number, because the mean of its divisors is an integer number (8608320).

Almost surely, 2^464405916 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 464405916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619799040).

464405916 is an abundant number, since it is smaller than the sum of its proper divisors (775192164).

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

464405916 is a wasteful number, since it uses less digits than its factorization.

464405916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 464405916 is about 21550.0792573949. The cubic root of 464405916 is about 774.4010167460.

The spelling of 464405916 in words is "four hundred sixty-four million, four hundred five thousand, nine hundred sixteen".