1254903552 has 432 divisors, whose sum is σ = 4591641600. Its totient is φ = 321159168.

The previous prime is 1254903547. The next prime is 1254903613. The reversal of 1254903552 is 2553094521.

It is a happy number.

1254903552 is a `hidden beast` number, since 12 + 5 + 4 + 90 + 3 + 552 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6305949 + ... + 6306147.

It is an arithmetic number, because the mean of its divisors is an integer number (10628800).

Almost surely, 2^1254903552 is an apocalyptic number.

1254903552 is a gapful number since it is divisible by the number (12) 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 1254903552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295820800).

1254903552 is an abundant number, since it is smaller than the sum of its proper divisors (3336738048).

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

1254903552 is a wasteful number, since it uses less digits than its factorization.

1254903552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 1254903552 is about 35424.6178807902. The cubic root of 1254903552 is about 1078.6240914729.

The spelling of 1254903552 in words is "one billion, two hundred fifty-four million, nine hundred three thousand, five hundred fifty-two".