464014720 has 128 divisors (see below), whose sum is σ = 1223339040. Its totient is φ = 167215104.

The previous prime is 464014709. The next prime is 464014723. The reversal of 464014720 is 27410464.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464014723) 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, 357112 + ... + 358408.

Almost surely, 2^464014720 is an apocalyptic number.

464014720 is a gapful number since it is divisible by the number (40) 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 464014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611669520).

464014720 is an abundant number, since it is smaller than the sum of its proper divisors (759324320).

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

464014720 is a wasteful number, since it uses less digits than its factorization.

464014720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 464014720 is about 21541.0009052504. Note that the first 3 decimals coincide. The cubic root of 464014720 is about 774.1835147206.

The spelling of 464014720 in words is "four hundred sixty-four million, fourteen thousand, seven hundred twenty".