601790400 has 378 divisors, whose sum is σ = 2264247440. Its totient is φ = 151557120.

The previous prime is 601790381. The next prime is 601790467. The reversal of 601790400 is 4097106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7617561 + ... + 7617639.

Almost surely, 2^601790400 is an apocalyptic number.

601790400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 601790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132123720).

601790400 is an abundant number, since it is smaller than the sum of its proper divisors (1662457040).

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

601790400 is a wasteful number, since it uses less digits than its factorization.

601790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 601790400 is about 24531.4165917910. The cubic root of 601790400 is about 844.2707665801.

The spelling of 601790400 in words is "six hundred one million, seven hundred ninety thousand, four hundred".