1014272952 has 256 divisors, whose sum is σ = 3373056000. Its totient is φ = 251475840.

The previous prime is 1014272933. The next prime is 1014272981. The reversal of 1014272952 is 2592724101.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2082453 + ... + 2082939.

It is an arithmetic number, because the mean of its divisors is an integer number (13176000).

Almost surely, 2^1014272952 is an apocalyptic number.

1014272952 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 1014272952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686528000).

1014272952 is an abundant number, since it is smaller than the sum of its proper divisors (2358783048).

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

1014272952 is a wasteful number, since it uses less digits than its factorization.

1014272952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1014272952 is about 31847.6522211607. The cubic root of 1014272952 is about 1004.7351932209.

The spelling of 1014272952 in words is "one billion, fourteen million, two hundred seventy-two thousand, nine hundred fifty-two".