742337904 has 360 divisors, whose sum is σ = 2620248960. Its totient is φ = 176774400.

The previous prime is 742337899. The next prime is 742337909. The reversal of 742337904 is 409733247.

It is an interprime number because it is at equal distance from previous prime (742337899) and next prime (742337909).

It is a super-2 number, since 2×742337904² = 1102131127430226432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742337909) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23946369 + ... + 23946399.

Almost surely, 2^742337904 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 742337904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310124480).

742337904 is an abundant number, since it is smaller than the sum of its proper divisors (1877911056).

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

742337904 is a wasteful number, since it uses less digits than its factorization.

742337904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The square root of 742337904 is about 27245.8786608177. The cubic root of 742337904 is about 905.4557105809.

The spelling of 742337904 in words is "seven hundred forty-two million, three hundred thirty-seven thousand, nine hundred four".