245372400 has 540 divisors, whose sum is σ = 1076696712. Its totient is φ = 51287040.

The previous prime is 245372371. The next prime is 245372401. The reversal of 245372400 is 4273542.

It is a super-2 number, since 2×245372400² = 120415229363520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245372401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2293147 + ... + 2293253.

Almost surely, 2^245372400 is an apocalyptic number.

245372400 is a gapful number since it is divisible by the number (20) 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 245372400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538348356).

245372400 is an abundant number, since it is smaller than the sum of its proper divisors (831324312).

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

245372400 is a wasteful number, since it uses less digits than its factorization.

245372400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 245372400 is about 15664.3672071361. The cubic root of 245372400 is about 626.0493518577.

The spelling of 245372400 in words is "two hundred forty-five million, three hundred seventy-two thousand, four hundred".