253773540 has 96 divisors (see below), whose sum is σ = 804504960. Its totient is φ = 66388608.

The previous prime is 253773523. The next prime is 253773547. The reversal of 253773540 is 45377352.

253773540 is a `hidden beast` number, since 2 + 537 + 73 + 54 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 253773495 and 253773504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253773547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24187 + ... + 33053.

It is an arithmetic number, because the mean of its divisors is an integer number (8380260).

Almost surely, 2^253773540 is an apocalyptic number.

253773540 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 253773540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402252480).

253773540 is an abundant number, since it is smaller than the sum of its proper divisors (550731420).

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

253773540 is a wasteful number, since it uses less digits than its factorization.

253773540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8938 (or 8930 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The square root of 253773540 is about 15930.2711841324. The cubic root of 253773540 is about 633.1142849738.

The spelling of 253773540 in words is "two hundred fifty-three million, seven hundred seventy-three thousand, five hundred forty".