754412400 has 480 divisors, whose sum is σ = 3254791680. Its totient is φ = 162017280.

The previous prime is 754412389. The next prime is 754412413. The reversal of 754412400 is 4214457.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1284907 + ... + 1285493.

It is an arithmetic number, because the mean of its divisors is an integer number (6780816).

Almost surely, 2^754412400 is an apocalyptic number.

754412400 is a gapful number since it is divisible by the number (70) 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 754412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627395840).

754412400 is an abundant number, since it is smaller than the sum of its proper divisors (2500379280).

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

754412400 is a wasteful number, since it uses less digits than its factorization.

754412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 754412400 is about 27466.5687700521. The cubic root of 754412400 is about 910.3385609785.

Adding to 754412400 its reverse (4214457), we get a palindrome (758626857).

It can be divided in two parts, 75441 and 2400, that added together give a square (77841 = 279²).

The spelling of 754412400 in words is "seven hundred fifty-four million, four hundred twelve thousand, four hundred".