1480861800 has 288 divisors, whose sum is σ = 5614596000. Its totient is φ = 346483200.

The previous prime is 1480861763. The next prime is 1480861807. The reversal of 1480861800 is 81680841.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1480861807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 572911 + ... + 575489.

It is an arithmetic number, because the mean of its divisors is an integer number (19495125).

Almost surely, 2^1480861800 is an apocalyptic number.

1480861800 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 1480861800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807298000).

1480861800 is an abundant number, since it is smaller than the sum of its proper divisors (4133734200).

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

1480861800 is a wasteful number, since it uses less digits than its factorization.

1480861800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1480861800 is about 38481.9672054327. The cubic root of 1480861800 is about 1139.8249962202.

The spelling of 1480861800 in words is "one billion, four hundred eighty million, eight hundred sixty-one thousand, eight hundred".