489294400 has 189 divisors, whose sum is σ = 1418489289. Its totient is φ = 165634560.

The previous prime is 489294361. The next prime is 489294413. The reversal of 489294400 is 4492984.

The square root of 489294400 is 22120.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 176145984 + 313148416 = 13272^2 + 17696^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6193561 + ... + 6193639.

Almost surely, 2^489294400 is an apocalyptic number.

489294400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

489294400 is the 22120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 489294400

489294400 is an abundant number, since it is smaller than the sum of its proper divisors (929194889).

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

489294400 is an equidigital number, since it uses as much as digits as its factorization.

489294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The cubic root of 489294400 is about 787.9949152360.

Multiplying 489294400 by its product of nonzero digits (82944), we get a square (40584034713600 = 6370560²).

The spelling of 489294400 in words is "four hundred eighty-nine million, two hundred ninety-four thousand, four hundred".