464055120 has 240 divisors, whose sum is σ = 1704748032. Its totient is φ = 112619520.

The previous prime is 464055113. The next prime is 464055127. The reversal of 464055120 is 21550464.

464055120 is a `hidden beast` number, since 4 + 640 + 5 + 5 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (464055113) and next prime (464055127).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464055127) 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, 378829 + ... + 380051.

Almost surely, 2^464055120 is an apocalyptic number.

464055120 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 464055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852374016).

464055120 is an abundant number, since it is smaller than the sum of its proper divisors (1240692912).

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

464055120 is a wasteful number, since it uses less digits than its factorization.

464055120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 464055120 is about 21541.9386314231. The cubic root of 464055120 is about 774.2059824750.

The spelling of 464055120 in words is "four hundred sixty-four million, fifty-five thousand, one hundred twenty".