4072460700 has 576 divisors, whose sum is σ = 15615000576. Its totient is φ = 801504000.

The previous prime is 4072460681. The next prime is 4072460701. The reversal of 4072460700 is 70642704.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072460701) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86648077 + ... + 86648123.

It is an arithmetic number, because the mean of its divisors is an integer number (27109376).

Almost surely, 2^4072460700 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 4072460700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7807500288).

4072460700 is an abundant number, since it is smaller than the sum of its proper divisors (11542539876).

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

4072460700 is a wasteful number, since it uses less digits than its factorization.

4072460700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 4072460700 is about 63815.8342419810. The cubic root of 4072460700 is about 1596.9290967207.

The spelling of 4072460700 in words is "four billion, seventy-two million, four hundred sixty thousand, seven hundred".