601290400 has 36 divisors (see below), whose sum is σ = 1467902142. Its totient is φ = 240515840.

The previous prime is 601290377. The next prime is 601290401. The reversal of 601290400 is 4092106.

It can be written as a sum of positive squares in 3 ways, for example, as 240746256 + 360544144 = 15516^2 + 18988^2 .

It is not an unprimeable number, because it can be changed into a prime (601290401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 375007 + ... + 376606.

Almost surely, 2^601290400 is an apocalyptic number.

It is an amenable number.

601290400 is an abundant number, since it is smaller than the sum of its proper divisors (866611742).

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

601290400 is a wasteful number, since it uses less digits than its factorization.

601290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751633 (or 751620 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 601290400 is about 24521.2234605046. The cubic root of 601290400 is about 844.0368798601.

The spelling of 601290400 in words is "six hundred one million, two hundred ninety thousand, four hundred".