742451200 has 144 divisors (see below), whose sum is σ = 1951398540. Its totient is φ = 279183360.

The previous prime is 742451197. The next prime is 742451207. The reversal of 742451200 is 2154247.

It can be written as a sum of positive squares in 6 ways, for example, as 183223296 + 559227904 = 13536^2 + 23648^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (742451207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 869974 + ... + 870826.

Almost surely, 2^742451200 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 742451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975699270).

742451200 is an abundant number, since it is smaller than the sum of its proper divisors (1208947340).

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

742451200 is a wasteful number, since it uses less digits than its factorization.

742451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 742451200 is about 27247.9577216348. The cubic root of 742451200 is about 905.5017719460.

The spelling of 742451200 in words is "seven hundred forty-two million, four hundred fifty-one thousand, two hundred".