253402446705408 has 8064 divisors, whose sum is σ = 1153005944832000. Its totient is φ = 54516304281600.

The previous prime is 253402446705407. The next prime is 253402446705493. The reversal of 253402446705408 is 804507644204352.

It is a happy number.

253402446705408 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 0 + 24 + 4 + 6 + 70 + 540 + 8 = 666.

253402446705408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (8064).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (253402446705407) by changing a digit.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 5391541419241 + ... + 5391541419287.

It is an arithmetic number, because the mean of its divisors is an integer number (142981888000).

Almost surely, 2^{253402446705408} is an apocalyptic number.

253402446705408 is a gapful number since it is divisible by the number (28) 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 253402446705408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576502972416000).

253402446705408 is an abundant number, since it is smaller than the sum of its proper divisors (899603498126592).

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

253402446705408 is a wasteful number, since it uses less digits than its factorization.

253402446705408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 54.

The spelling of 253402446705408 in words is "two hundred fifty-three trillion, four hundred two billion, four hundred forty-six million, seven hundred five thousand, four hundred eight".