752457420 has 576 divisors, whose sum is σ = 2958778368. Its totient is φ = 152064000.

The previous prime is 752457401. The next prime is 752457449. The reversal of 752457420 is 24754257.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18352600 + ... + 18352640.

It is an arithmetic number, because the mean of its divisors is an integer number (5136768).

Almost surely, 2^752457420 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 752457420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479389184).

752457420 is an abundant number, since it is smaller than the sum of its proper divisors (2206320948).

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

752457420 is a wasteful number, since it uses less digits than its factorization.

752457420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 752457420 is about 27430.9573292658. The cubic root of 752457420 is about 909.5515320303.

The spelling of 752457420 in words is "seven hundred fifty-two million, four hundred fifty-seven thousand, four hundred twenty".