601046400 has 192 divisors, whose sum is σ = 1998510480. Its totient is φ = 158760960.

The previous prime is 601046377. The next prime is 601046443. The reversal of 601046400 is 4640106.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×601046400² = 722513549905920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1314972 + ... + 1315428.

Almost surely, 2^601046400 is an apocalyptic number.

601046400 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 601046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999255240).

601046400 is an abundant number, since it is smaller than the sum of its proper divisors (1397464080).

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

601046400 is a wasteful number, since it uses less digits than its factorization.

601046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 601046400 is about 24516.2476737367. The cubic root of 601046400 is about 843.9226960636.

Adding to 601046400 its reverse (4640106), we get a palindrome (605686506).

The spelling of 601046400 in words is "six hundred one million, forty-six thousand, four hundred".