742891440 has 120 divisors (see below), whose sum is σ = 2380387824. Its totient is φ = 191654400.

The previous prime is 742891427. The next prime is 742891441. The reversal of 742891440 is 44198247.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (742891441) 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, 229030 + ... + 232250.

Almost surely, 2^742891440 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 742891440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190193912).

742891440 is an abundant number, since it is smaller than the sum of its proper divisors (1637496384).

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

742891440 is a wasteful number, since it uses less digits than its factorization.

742891440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 742891440 is about 27256.0349280668. The cubic root of 742891440 is about 905.6807104561.

The spelling of 742891440 in words is "seven hundred forty-two million, eight hundred ninety-one thousand, four hundred forty".