1010562400 has 72 divisors (see below), whose sum is σ = 2481169320. Its totient is φ = 401909760.

The previous prime is 1010562379. The next prime is 1010562403. The reversal of 1010562400 is 42650101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010562403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139672 + ... + 146728.

It is an arithmetic number, because the mean of its divisors is an integer number (34460685).

Almost surely, 2^1010562400 is an apocalyptic number.

1010562400 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 1010562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240584660).

1010562400 is an abundant number, since it is smaller than the sum of its proper divisors (1470606920).

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

1010562400 is a wasteful number, since it uses less digits than its factorization.

1010562400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7256 (or 7243 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1010562400 is about 31789.3441266095. The cubic root of 1010562400 is about 1003.5084761990.

The spelling of 1010562400 in words is "one billion, ten million, five hundred sixty-two thousand, four hundred".