481202964 has 144 divisors (see below), whose sum is σ = 1431803520. Its totient is φ = 139392000.

The previous prime is 481202957. The next prime is 481202989. The reversal of 481202964 is 469202184.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299764 + ... + 301364.

It is an arithmetic number, because the mean of its divisors is an integer number (9943080).

Almost surely, 2^481202964 is an apocalyptic number.

481202964 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 481202964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715901760).

481202964 is an abundant number, since it is smaller than the sum of its proper divisors (950600556).

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

481202964 is a wasteful number, since it uses less digits than its factorization.

481202964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 481202964 is about 21936.3388923494. The cubic root of 481202964 is about 783.6270721330.

The spelling of 481202964 in words is "four hundred eighty-one million, two hundred two thousand, nine hundred sixty-four".