464244480 has 576 divisors, whose sum is σ = 2001484800. Its totient is φ = 99532800.

The previous prime is 464244467. The next prime is 464244533. The reversal of 464244480 is 84442464.

464244480 is a `hidden beast` number, since 4 + 642 + 4 + 4 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 4596430 + ... + 4596530.

It is an arithmetic number, because the mean of its divisors is an integer number (3474800).

Almost surely, 2^464244480 is an apocalyptic number.

464244480 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 464244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000742400).

464244480 is an abundant number, since it is smaller than the sum of its proper divisors (1537240320).

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

464244480 is a wasteful number, since it uses less digits than its factorization.

464244480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 464244480 is about 21546.3333307549. Note that the first 5 decimals coincide. The cubic root of 464244480 is about 774.3112743554.

The spelling of 464244480 in words is "four hundred sixty-four million, two hundred forty-four thousand, four hundred eighty".