253461780 has 288 divisors, whose sum is σ = 928287360. Its totient is φ = 55157760.

The previous prime is 253461763. The next prime is 253461829. The reversal of 253461780 is 87164352.

253461780 is a `hidden beast` number, since 2 + 5 + 34 + 617 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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, 1106706 + ... + 1106934.

It is an arithmetic number, because the mean of its divisors is an integer number (3223220).

Almost surely, 2^253461780 is an apocalyptic number.

253461780 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 253461780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464143680).

253461780 is an abundant number, since it is smaller than the sum of its proper divisors (674825580).

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

253461780 is a wasteful number, since it uses less digits than its factorization.

253461780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 306 counting only the distinct ones).

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

The square root of 253461780 is about 15920.4830328731. The cubic root of 253461780 is about 632.8549190952.

The spelling of 253461780 in words is "two hundred fifty-three million, four hundred sixty-one thousand, seven hundred eighty".