481941504 has 144 divisors (see below), whose sum is σ = 1519113960. Its totient is φ = 145981440.

The previous prime is 481941503. The next prime is 481941521. The reversal of 481941504 is 405149184.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×481941504² = 464535226555564032, which contains 22 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 (481941503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201564 + ... + 203940.

Almost surely, 2^481941504 is an apocalyptic number.

481941504 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 481941504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759556980).

481941504 is an abundant number, since it is smaller than the sum of its proper divisors (1037172456).

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

481941504 is a wasteful number, since it uses less digits than its factorization.

481941504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 481941504 is about 21953.1661497835. The cubic root of 481941504 is about 784.0277652252.

The spelling of 481941504 in words is "four hundred eighty-one million, nine hundred forty-one thousand, five hundred four".