484772400 has 180 divisors, whose sum is σ = 1922722672. Its totient is φ = 110799360.

The previous prime is 484772399. The next prime is 484772401. The reversal of 484772400 is 4277484.

It is an interprime number because it is at equal distance from previous prime (484772399) and next prime (484772401).

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (484772401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15582 + ... + 34818.

Almost surely, 2^484772400 is an apocalyptic number.

484772400 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 484772400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961361336).

484772400 is an abundant number, since it is smaller than the sum of its proper divisors (1437950272).

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

484772400 is a wasteful number, since it uses less digits than its factorization.

484772400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19268 (or 19254 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 484772400 is about 22017.5475473541. The cubic root of 484772400 is about 785.5598802452.

The spelling of 484772400 in words is "four hundred eighty-four million, seven hundred seventy-two thousand, four hundred".