481187952 has 400 divisors, whose sum is σ = 1728460800. Its totient is φ = 126282240.

The previous prime is 481187951. The next prime is 481187963. The reversal of 481187952 is 259781184.

481187952 is a `hidden beast` number, since 481 + 1 + 87 + 95 + 2 = 666.

It is a super-3 number, since 3×481187952³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 481187898 and 481187907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481187951) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8155699 + ... + 8155757.

It is an arithmetic number, because the mean of its divisors is an integer number (4321152).

Almost surely, 2^481187952 is an apocalyptic number.

481187952 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 481187952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864230400).

481187952 is an abundant number, since it is smaller than the sum of its proper divisors (1247272848).

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

481187952 is a wasteful number, since it uses less digits than its factorization.

481187952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 481187952 is about 21935.9967177240. The cubic root of 481187952 is about 783.6189231586.

The spelling of 481187952 in words is "four hundred eighty-one million, one hundred eighty-seven thousand, nine hundred fifty-two".