2345464400 has 60 divisors (see below), whose sum is σ = 5640589500. Its totient is φ = 937251840.

The previous prime is 2345464361. The next prime is 2345464411. The reversal of 2345464400 is 44645432.

It can be written as a sum of positive squares in 6 ways, for example, as 51437584 + 2294026816 = 7172^2 + 47896^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 513326 + ... + 517874.

It is an arithmetic number, because the mean of its divisors is an integer number (94009825).

Almost surely, 2^2345464400 is an apocalyptic number.

2345464400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2345464400 is an abundant number, since it is smaller than the sum of its proper divisors (3295125100).

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

2345464400 is a wasteful number, since it uses less digits than its factorization.

2345464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5856 (or 5845 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The square root of 2345464400 is about 48429.9948379101. The cubic root of 2345464400 is about 1328.6470119804.

The spelling of 2345464400 in words is "two billion, three hundred forty-five million, four hundred sixty-four thousand, four hundred".