481425120 has 360 divisors, whose sum is σ = 1873611432. Its totient is φ = 116328960.

The previous prime is 481425053. The next prime is 481425127. The reversal of 481425120 is 21524184.

481425120 is a `hidden beast` number, since 4 + 8 + 142 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481425127) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1568007 + ... + 1568313.

Almost surely, 2^481425120 is an apocalyptic number.

481425120 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 481425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936805716).

481425120 is an abundant number, since it is smaller than the sum of its proper divisors (1392186312).

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

481425120 is a wasteful number, since it uses less digits than its factorization.

481425120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 481425120 is about 21941.4019606770. The cubic root of 481425120 is about 783.7476454223.

The spelling of 481425120 in words is "four hundred eighty-one million, four hundred twenty-five thousand, one hundred twenty".