249690506400 has 432 divisors, whose sum is σ = 933953660640. Its totient is φ = 62593689600.

The previous prime is 249690506389. The next prime is 249690506413. The reversal of 249690506400 is 4605096942.

249690506400 is a `hidden beast` number, since 2 + 49 + 69 + 0 + 506 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17913834 + ... + 17927766.

It is an arithmetic number, because the mean of its divisors is an integer number (2161929770).

Almost surely, 2^249690506400 is an apocalyptic number.

249690506400 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 249690506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466976830320).

249690506400 is an abundant number, since it is smaller than the sum of its proper divisors (684263154240).

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

249690506400 is a wasteful number, since it uses less digits than its factorization.

249690506400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14109 (or 14093 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 249690506400 in words is "two hundred forty-nine billion, six hundred ninety million, five hundred six thousand, four hundred".