742452480 has 864 divisors, whose sum is σ = 3428425728. Its totient is φ = 149299200.

The previous prime is 742452439. The next prime is 742452499. The reversal of 742452480 is 84254247.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23950065 + ... + 23950095.

Almost surely, 2^742452480 is an apocalyptic number.

742452480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714212864).

742452480 is an abundant number, since it is smaller than the sum of its proper divisors (2685973248).

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

742452480 is a wasteful number, since it uses less digits than its factorization.

742452480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 742452480 is about 27247.9812096236. The cubic root of 742452480 is about 905.5022923132.

The spelling of 742452480 in words is "seven hundred forty-two million, four hundred fifty-two thousand, four hundred eighty".