484354416 has 320 divisors, whose sum is σ = 1644339200. Its totient is φ = 121927680.

The previous prime is 484354397. The next prime is 484354469. The reversal of 484354416 is 614453484.

484354416 = 3875² + 3876² + ... + 3906².

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6634956 + ... + 6635028.

It is an arithmetic number, because the mean of its divisors is an integer number (5138560).

Almost surely, 2^484354416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484354416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822169600).

484354416 is an abundant number, since it is smaller than the sum of its proper divisors (1159984784).

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

484354416 is a wasteful number, since it uses less digits than its factorization.

484354416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 129 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 484354416 is about 22008.0534350496. The cubic root of 484354416 is about 785.3340382642.

The spelling of 484354416 in words is "four hundred eighty-four million, three hundred fifty-four thousand, four hundred sixteen".