1010491200 has 504 divisors, whose sum is σ = 3920874048. Its totient is φ = 255467520.

The previous prime is 1010491199. The next prime is 1010491213. The reversal of 1010491200 is 21940101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8942344 + ... + 8942456.

It is an arithmetic number, because the mean of its divisors is an integer number (7779512).

Almost surely, 2^1010491200 is an apocalyptic number.

1010491200 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 1010491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960437024).

1010491200 is an abundant number, since it is smaller than the sum of its proper divisors (2910382848).

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

1010491200 is a wasteful number, since it uses less digits than its factorization.

1010491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1010491200 is about 31788.2242347697. The cubic root of 1010491200 is about 1003.4849079755.

The spelling of 1010491200 in words is "one billion, ten million, four hundred ninety-one thousand, two hundred".