481525632 has 192 divisors, whose sum is σ = 1596716160. Its totient is φ = 136442880.

The previous prime is 481525613. The next prime is 481525637. The reversal of 481525632 is 236525184.

481525632 is a `hidden beast` number, since 4 + 8 + 15 + 2 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481525637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1701363 + ... + 1701645.

It is an arithmetic number, because the mean of its divisors is an integer number (8316230).

Almost surely, 2^481525632 is an apocalyptic number.

481525632 is a gapful number since it is divisible by the number (42) 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 481525632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798358080).

481525632 is an abundant number, since it is smaller than the sum of its proper divisors (1115190528).

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

481525632 is a wasteful number, since it uses less digits than its factorization.

481525632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 506 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 481525632 is about 21943.6923055351. The cubic root of 481525632 is about 783.8021852724.

The spelling of 481525632 in words is "four hundred eighty-one million, five hundred twenty-five thousand, six hundred thirty-two".