746382400 has 63 divisors (see below), whose sum is σ = 1839260101. Its totient is φ = 298115840.

The previous prime is 746382359. The next prime is 746382431. The reversal of 746382400 is 4283647.

The square root of 746382400 is 27320.

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., 268697664 + 477684736 = 16392^2 + 21856^2 .

It is a super-4 number, since 4×746382400⁴ (a number of 37 digits) contains 4444 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1092459 + ... + 1093141.

Almost surely, 2^746382400 is an apocalyptic number.

746382400 is the 27320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746382400

746382400 is an abundant number, since it is smaller than the sum of its proper divisors (1092877701).

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

746382400 is an frugal number, since it uses more digits than its factorization.

746382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The cubic root of 746382400 is about 907.0971379549.

The spelling of 746382400 in words is "seven hundred forty-six million, three hundred eighty-two thousand, four hundred".