1420831800 has 384 divisors, whose sum is σ = 5205024000. Its totient is φ = 355622400.

The previous prime is 1420831793. The next prime is 1420831813. The reversal of 1420831800 is 81380241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6733695 + ... + 6733905.

It is an arithmetic number, because the mean of its divisors is an integer number (13554750).

Almost surely, 2^1420831800 is an apocalyptic number.

1420831800 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 1420831800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602512000).

1420831800 is an abundant number, since it is smaller than the sum of its proper divisors (3784192200).

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

1420831800 is a wasteful number, since it uses less digits than its factorization.

1420831800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1420831800 is about 37693.9225870697. The cubic root of 1420831800 is about 1124.2102902261.

The spelling of 1420831800 in words is "one billion, four hundred twenty million, eight hundred thirty-one thousand, eight hundred".