1254215040 has 256 divisors, whose sum is σ = 4354257600. Its totient is φ = 305233920.

The previous prime is 1254214991. The next prime is 1254215041. The reversal of 1254215040 is 405124521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1254215040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1254215041) 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, 2720410 + ... + 2720870.

Almost surely, 2^1254215040 is an apocalyptic number.

1254215040 is a gapful number since it is divisible by the number (10) 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 1254215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177128800).

1254215040 is an abundant number, since it is smaller than the sum of its proper divisors (3100042560).

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

1254215040 is a wasteful number, since it uses less digits than its factorization.

1254215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1254215040 is about 35414.8985597870. The cubic root of 1254215040 is about 1078.4267903895.

Adding to 1254215040 its reverse (405124521), we get a palindrome (1659339561).

The spelling of 1254215040 in words is "one billion, two hundred fifty-four million, two hundred fifteen thousand, forty".