1420052400 has 360 divisors, whose sum is σ = 5589867920. Its totient is φ = 330946560.

The previous prime is 1420052393. The next prime is 1420052437. The reversal of 1420052400 is 42500241.

1420052400 is a `hidden beast` number, since 1 + 420 + 0 + 5 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

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 71 ways as a sum of consecutive naturals, for example, 888402 + ... + 889998.

Almost surely, 2^1420052400 is an apocalyptic number.

1420052400 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 1420052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794933960).

1420052400 is an abundant number, since it is smaller than the sum of its proper divisors (4169815520).

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

1420052400 is a wasteful number, since it uses less digits than its factorization.

1420052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1420052400 is about 37683.5826322286. The cubic root of 1420052400 is about 1124.0046900595.

Adding to 1420052400 its reverse (42500241), we get a palindrome (1462552641).

The spelling of 1420052400 in words is "one billion, four hundred twenty million, fifty-two thousand, four hundred".