742585452 has 96 divisors (see below), whose sum is σ = 2100532224. Its totient is φ = 199584000.

The previous prime is 742585451. The next prime is 742585453. The reversal of 742585452 is 254585247.

It is an interprime number because it is at equal distance from previous prime (742585451) and next prime (742585453).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (742585451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114702 + ... + 121002.

It is an arithmetic number, because the mean of its divisors is an integer number (21880544).

Almost surely, 2^742585452 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 742585452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050266112).

742585452 is an abundant number, since it is smaller than the sum of its proper divisors (1357946772).

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

742585452 is a wasteful number, since it uses less digits than its factorization.

742585452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6399 (or 6397 counting only the distinct ones).

The product of its digits is 448000, while the sum is 42.

The square root of 742585452 is about 27250.4211343605. The cubic root of 742585452 is about 905.5563470693.

The spelling of 742585452 in words is "seven hundred forty-two million, five hundred eighty-five thousand, four hundred fifty-two".