1253348376 has 128 divisors (see below), whose sum is σ = 3784704000. Its totient is φ = 337882752.

The previous prime is 1253348353. The next prime is 1253348401. The reversal of 1253348376 is 6738433521.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979305 + ... + 980583.

It is an arithmetic number, because the mean of its divisors is an integer number (29568000).

Almost surely, 2^1253348376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253348376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892352000).

1253348376 is an abundant number, since it is smaller than the sum of its proper divisors (2531355624).

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

1253348376 is a wasteful number, since it uses less digits than its factorization.

1253348376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1617 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 1253348376 is about 35402.6605779848. The cubic root of 1253348376 is about 1078.1783351123.

The spelling of 1253348376 in words is "one billion, two hundred fifty-three million, three hundred forty-eight thousand, three hundred seventy-six".