742471200 has 216 divisors, whose sum is σ = 2646650916. Its totient is φ = 195840000.

The previous prime is 742471183. The next prime is 742471217. The reversal of 742471200 is 2174247.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (742471183) and next prime (742471217).

It can be written as a sum of positive squares in 6 ways, for example, as 510579216 + 231891984 = 22596^2 + 15228^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 726690 + ... + 727710.

Almost surely, 2^742471200 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 742471200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323325458).

742471200 is an abundant number, since it is smaller than the sum of its proper divisors (1904179716).

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

742471200 is a wasteful number, since it uses less digits than its factorization.

742471200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 742471200 is about 27248.3247191456. The cubic root of 742471200 is about 905.5099026141.

The spelling of 742471200 in words is "seven hundred forty-two million, four hundred seventy-one thousand, two hundred".