742484160 has 336 divisors, whose sum is σ = 2909986560. Its totient is φ = 172001280.

The previous prime is 742484123. The next prime is 742484167. The reversal of 742484160 is 61484247.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (742484167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728131 + ... + 729149.

Almost surely, 2^742484160 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 742484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454993280).

742484160 is an abundant number, since it is smaller than the sum of its proper divisors (2167502400).

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

742484160 is a wasteful number, since it uses less digits than its factorization.

742484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 742484160 is about 27248.5625308933. The cubic root of 742484160 is about 905.5151712091.

The spelling of 742484160 in words is "seven hundred forty-two million, four hundred eighty-four thousand, one hundred sixty".