245421792 has 576 divisors, whose sum is σ = 992839680. Its totient is φ = 58060800.

The previous prime is 245421791. The next prime is 245421793. The reversal of 245421792 is 297124542.

245421792 is a `hidden beast` number, since 24 + 542 + 1 + 7 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (245421791) and next prime (245421793).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245421791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7916817 + ... + 7916847.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 2^245421792 is an apocalyptic number.

245421792 is a gapful number since it is divisible by the number (22) 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 245421792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496419840).

245421792 is an abundant number, since it is smaller than the sum of its proper divisors (747417888).

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

245421792 is a wasteful number, since it uses less digits than its factorization.

245421792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 245421792 is about 15665.9436996307. The cubic root of 245421792 is about 626.0913557058.

The spelling of 245421792 in words is "two hundred forty-five million, four hundred twenty-one thousand, seven hundred ninety-two".