245975873400 has 576 divisors, whose sum is σ = 891661680000. Its totient is φ = 60579394560.

The previous prime is 245975873399. The next prime is 245975873417. The reversal of 245975873400 is 4378579542.

It is a happy number.

245975873400 is a `hidden beast` number, since 2 + 4 + 59 + 7 + 587 + 3 + 4 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 280473762 + ... + 280474638.

It is an arithmetic number, because the mean of its divisors is an integer number (1548023750).

Almost surely, 2^245975873400 is an apocalyptic number.

245975873400 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 245975873400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445830840000).

245975873400 is an abundant number, since it is smaller than the sum of its proper divisors (645685806600).

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

245975873400 is a wasteful number, since it uses less digits than its factorization.

245975873400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 245975873400 in words is "two hundred forty-five billion, nine hundred seventy-five million, eight hundred seventy-three thousand, four hundred".