601091400 has 384 divisors, whose sum is σ = 2337350400. Its totient is φ = 124416000.

The previous prime is 601091399. The next prime is 601091411. The reversal of 601091400 is 4190106.

It is a super-2 number, since 2×601091400² = 722621742307920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5514546 + ... + 5514654.

It is an arithmetic number, because the mean of its divisors is an integer number (6086850).

Almost surely, 2^601091400 is an apocalyptic number.

601091400 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 601091400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168675200).

601091400 is an abundant number, since it is smaller than the sum of its proper divisors (1736259000).

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

601091400 is a wasteful number, since it uses less digits than its factorization.

601091400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 601091400 is about 24517.1654152759. The cubic root of 601091400 is about 843.9437568744.

The spelling of 601091400 in words is "six hundred one million, ninety-one thousand, four hundred".