615104400 has 120 divisors (see below), whose sum is σ = 1978891200. Its totient is φ = 163320320.

The previous prime is 615104393. The next prime is 615104401. The reversal of 615104400 is 4401516.

615104400 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 (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (615104401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314626 + ... + 316574.

It is an arithmetic number, because the mean of its divisors is an integer number (16490760).

Almost surely, 2^615104400 is an apocalyptic number.

615104400 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 615104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989445600).

615104400 is an abundant number, since it is smaller than the sum of its proper divisors (1363786800).

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

615104400 is a wasteful number, since it uses less digits than its factorization.

615104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 615104400 is about 24801.2983531105. The cubic root of 615104400 is about 850.4516169851.

Adding to 615104400 its reverse (4401516), we get a palindrome (619505916).

The spelling of 615104400 in words is "six hundred fifteen million, one hundred four thousand, four hundred".