1942458400 has 36 divisors (see below), whose sum is σ = 4742028522. Its totient is φ = 776983040.

The previous prime is 1942458389. The next prime is 1942458431. The reversal of 1942458400 is 48542491.

It can be written as a sum of positive squares in 3 ways, for example, as 1059893136 + 882565264 = 32556^2 + 29708^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1942458400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1213237 + ... + 1214836.

Almost surely, 2^1942458400 is an apocalyptic number.

1942458400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1942458400 is an abundant number, since it is smaller than the sum of its proper divisors (2799570122).

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

1942458400 is a wasteful number, since it uses less digits than its factorization.

1942458400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428093 (or 2428080 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 1942458400 is about 44073.3298038621. The cubic root of 1942458400 is about 1247.7203035816.

The spelling of 1942458400 in words is "one billion, nine hundred forty-two million, four hundred fifty-eight thousand, four hundred".