464010480 has 120 divisors (see below), whose sum is σ = 1608647040. Its totient is φ = 119738880.

The previous prime is 464010433. The next prime is 464010499. The reversal of 464010480 is 84010464.

464010480 is a `hidden beast` number, since 4 + 640 + 10 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11926 + ... + 32714.

It is an arithmetic number, because the mean of its divisors is an integer number (13405392).

Almost surely, 2^464010480 is an apocalyptic number.

464010480 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 464010480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804323520).

464010480 is an abundant number, since it is smaller than the sum of its proper divisors (1144636560).

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

464010480 is a wasteful number, since it uses less digits than its factorization.

464010480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20839 (or 20830 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 464010480 is about 21540.9024880575. The cubic root of 464010480 is about 774.1811566431.

The spelling of 464010480 in words is "four hundred sixty-four million, ten thousand, four hundred eighty".