481996400 has 60 divisors (see below), whose sum is σ = 1166461800. Its totient is φ = 191389440.

The previous prime is 481996397. The next prime is 481996409. The reversal of 481996400 is 4699184.

It is a super-2 number, since 2×481996400² = 464641059225920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481996409) 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, 51266 + ... + 59934.

It is an arithmetic number, because the mean of its divisors is an integer number (19441030).

Almost surely, 2^481996400 is an apocalyptic number.

481996400 is a gapful number since it is divisible by the number (40) 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 481996400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583230900).

481996400 is an abundant number, since it is smaller than the sum of its proper divisors (684465400).

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

481996400 is a wasteful number, since it uses less digits than its factorization.

481996400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8826 (or 8815 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 481996400 is about 21954.4164121937. The cubic root of 481996400 is about 784.0575325682.

The spelling of 481996400 in words is "four hundred eighty-one million, nine hundred ninety-six thousand, four hundred".