601552400 has 30 divisors (see below), whose sum is σ = 1445230602. Its totient is φ = 240620800.

The previous prime is 601552397. The next prime is 601552403. The reversal of 601552400 is 4255106.

601552400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (601552397) and next prime (601552403).

It can be written as a sum of positive squares in 3 ways, for example, as 17073424 + 584478976 = 4132^2 + 24176^2 .

It is not an unprimeable number, because it can be changed into a prime (601552403) 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, 751541 + ... + 752340.

Almost surely, 2^601552400 is an apocalyptic number.

It is an amenable number.

601552400 is an abundant number, since it is smaller than the sum of its proper divisors (843678202).

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

601552400 is a wasteful number, since it uses less digits than its factorization.

601552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503899 (or 1503888 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 601552400 is about 24526.5651896061. The cubic root of 601552400 is about 844.1594526644.

The spelling of 601552400 in words is "six hundred one million, five hundred fifty-two thousand, four hundred".