1042490400 has 144 divisors (see below), whose sum is σ = 3878126784. Its totient is φ = 238279680.

The previous prime is 1042490389. The next prime is 1042490417. The reversal of 1042490400 is 40942401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14227 + ... + 47826.

It is an arithmetic number, because the mean of its divisors is an integer number (26931436).

Almost surely, 2^1042490400 is an apocalyptic number.

1042490400 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 1042490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939063392).

1042490400 is an abundant number, since it is smaller than the sum of its proper divisors (2835636384).

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

1042490400 is a wasteful number, since it uses less digits than its factorization.

1042490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62083 (or 62070 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1042490400 is about 32287.6199184765. The cubic root of 1042490400 is about 1013.9674681937.

The spelling of 1042490400 in words is "one billion, forty-two million, four hundred ninety thousand, four hundred".