601040400 has 240 divisors, whose sum is σ = 2019299328. Its totient is φ = 152640000.

The previous prime is 601040387. The next prime is 601040411. The reversal of 601040400 is 4040106.

601040400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×601040400² = 722499124864320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 601040400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3980325 + ... + 3980475.

Almost surely, 2^601040400 is an apocalyptic number.

601040400 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 601040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009649664).

601040400 is an abundant number, since it is smaller than the sum of its proper divisors (1418258928).

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

601040400 is a wasteful number, since it uses less digits than its factorization.

601040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 601040400 is about 24516.1253056024. The cubic root of 601040400 is about 843.9198878761.

Adding to 601040400 its reverse (4040106), we get a palindrome (605080506).

The spelling of 601040400 in words is "six hundred one million, forty thousand, four hundred".