40598400 has 96 divisors (see below), whose sum is σ = 133752600. Its totient is φ = 10823680.

The previous prime is 40598339. The next prime is 40598401. The reversal of 40598400 is 489504.

40598400 is digitally balanced in base 2, 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40598401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7486 + ... + 11714.

Almost surely, 2^40598400 is an apocalyptic number.

40598400 is a gapful number since it is divisible by the number (40) 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 40598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66876300).

40598400 is an abundant number, since it is smaller than the sum of its proper divisors (93154200).

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

40598400 is a wasteful number, since it uses less digits than its factorization.

40598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 40598400 is about 6371.6873746285. The cubic root of 40598400 is about 343.6921709882.

The spelling of 40598400 in words is "forty million, five hundred ninety-eight thousand, four hundred".