481047552 has 176 divisors, whose sum is σ = 1446328320. Its totient is φ = 157925376.

The previous prime is 481047551. The next prime is 481047569. The reversal of 481047552 is 255740184.

It is a super-3 number, since 3×481047552³ (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 not an unprimeable number, because it can be changed into a prime (481047551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3511228 + ... + 3511364.

Almost surely, 2^481047552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481047552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723164160).

481047552 is an abundant number, since it is smaller than the sum of its proper divisors (965280768).

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

481047552 is a wasteful number, since it uses less digits than its factorization.

481047552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 481047552 is about 21932.7962649545. The cubic root of 481047552 is about 783.5427015224.

The spelling of 481047552 in words is "four hundred eighty-one million, forty-seven thousand, five hundred fifty-two".