747242400 has 144 divisors (see below), whose sum is σ = 2538212544. Its totient is φ = 190586880.

The previous prime is 747242399. The next prime is 747242407. The reversal of 747242400 is 4242747.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (747242407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48432 + ... + 61968.

It is an arithmetic number, because the mean of its divisors is an integer number (17626476).

Almost surely, 2^747242400 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 747242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269106272).

747242400 is an abundant number, since it is smaller than the sum of its proper divisors (1790970144).

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

747242400 is a wasteful number, since it uses less digits than its factorization.

747242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13583 (or 13570 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 747242400 is about 27335.7348538502. The cubic root of 747242400 is about 907.4453973780.

The spelling of 747242400 in words is "seven hundred forty-seven million, two hundred forty-two thousand, four hundred".