749579400 has 192 divisors, whose sum is σ = 2604595200. Its totient is φ = 198132480.

The previous prime is 749579381. The next prime is 749579401. The reversal of 749579400 is 4975947.

749579400 is a `hidden beast` number, since 74 + 9 + 579 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (749579401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 685254 + ... + 686346.

It is an arithmetic number, because the mean of its divisors is an integer number (13565600).

Almost surely, 2^749579400 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 749579400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302297600).

749579400 is an abundant number, since it is smaller than the sum of its proper divisors (1855015800).

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

749579400 is a wasteful number, since it uses less digits than its factorization.

749579400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 749579400 is about 27378.4477280944. The cubic root of 749579400 is about 908.3904244526.

The spelling of 749579400 in words is "seven hundred forty-nine million, five hundred seventy-nine thousand, four hundred".