481689600 has 324 divisors, whose sum is σ = 1852826724. Its totient is φ = 110100480.

The previous prime is 481689553. The next prime is 481689617. The reversal of 481689600 is 6986184.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68812797 + ... + 68812803.

It is an arithmetic number, because the mean of its divisors is an integer number (5718601).

Almost surely, 2^481689600 is an apocalyptic number.

481689600 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 481689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926413362).

481689600 is an abundant number, since it is smaller than the sum of its proper divisors (1371137124).

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

481689600 is an frugal number, since it uses more digits than its factorization.

481689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 481689600 is about 21947.4280953373. The cubic root of 481689600 is about 783.8911413482.

The spelling of 481689600 in words is "four hundred eighty-one million, six hundred eighty-nine thousand, six hundred".