481402880 has 224 divisors, whose sum is σ = 1396617984. Its totient is φ = 155713536.

The previous prime is 481402877. The next prime is 481402897. The reversal of 481402880 is 88204184.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 481402880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6594524 + ... + 6594596.

Almost surely, 2^481402880 is an apocalyptic number.

481402880 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 481402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698308992).

481402880 is an abundant number, since it is smaller than the sum of its proper divisors (915215104).

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

481402880 is an equidigital number, since it uses as much as digits as its factorization.

481402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 35.

The square root of 481402880 is about 21940.8951503807. The cubic root of 481402880 is about 783.7355765215.

The spelling of 481402880 in words is "four hundred eighty-one million, four hundred two thousand, eight hundred eighty".