7442461000 has 64 divisors (see below), whose sum is σ = 18755034480. Its totient is φ = 2747980800.

The previous prime is 7442460983. The next prime is 7442461051. The reversal of 7442461000 is 1642447.

It can be written as a sum of positive squares in 8 ways, for example, as 810313156 + 6632147844 = 28466^2 + 81438^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7442461000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273249 + ... + 299248.

Almost surely, 2^7442461000 is an apocalyptic number.

It is an amenable number.

7442461000 is an abundant number, since it is smaller than the sum of its proper divisors (11312573480).

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

7442461000 is a wasteful number, since it uses less digits than its factorization.

7442461000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572531 (or 572517 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 7442461000 is about 86269.6991996611. The cubic root of 7442461000 is about 1952.4152409018.

It can be divided in two parts, 74424 and 61000, that added together give a square (135424 = 368²).

The spelling of 7442461000 in words is "seven billion, four hundred forty-two million, four hundred sixty-one thousand".