481054464 has 432 divisors, whose sum is σ = 1696356480. Its totient is φ = 134369280.

The previous prime is 481054433. The next prime is 481054477. The reversal of 481054464 is 464450184.

It is a happy number.

481054464 is a `hidden beast` number, since 48 + 10 + 544 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×481054464³ (a number of 27 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 13001454 + ... + 13001490.

Almost surely, 2^481054464 is an apocalyptic number.

481054464 is a gapful number since it is divisible by the number (44) 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 481054464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848178240).

481054464 is an abundant number, since it is smaller than the sum of its proper divisors (1215302016).

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

481054464 is a wasteful number, since it uses less digits than its factorization.

481054464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 481054464 is about 21932.9538366359. The cubic root of 481054464 is about 783.5464543193.

The spelling of 481054464 in words is "four hundred eighty-one million, fifty-four thousand, four hundred sixty-four".