1012949280 has 768 divisors, whose sum is σ = 4470681600. Its totient is φ = 209018880.

The previous prime is 1012949257. The next prime is 1012949291. The reversal of 1012949280 is 829492101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23556939 + ... + 23556981.

It is an arithmetic number, because the mean of its divisors is an integer number (5821200).

Almost surely, 2^1012949280 is an apocalyptic number.

1012949280 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 1012949280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235340800).

1012949280 is an abundant number, since it is smaller than the sum of its proper divisors (3457732320).

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

1012949280 is a wasteful number, since it uses less digits than its factorization.

1012949280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1012949280 is about 31826.8641245097. The cubic root of 1012949280 is about 1004.2979280174.

The spelling of 1012949280 in words is "one billion, twelve million, nine hundred forty-nine thousand, two hundred eighty".