1488034800 has 390 divisors, whose sum is σ = 6128573768. Its totient is φ = 340122240.

The previous prime is 1488034787. The next prime is 1488034817. The reversal of 1488034800 is 84308841.

1488034800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1488034800² = 4428495132022080000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 77 ways as a sum of consecutive naturals, for example, 212576397 + ... + 212576403.

Almost surely, 2^1488034800 is an apocalyptic number.

1488034800 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 1488034800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064286884).

1488034800 is an abundant number, since it is smaller than the sum of its proper divisors (4640538968).

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

1488034800 is an frugal number, since it uses more digits than its factorization.

1488034800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1488034800 is about 38575.0541153217. The cubic root of 1488034800 is about 1141.6623945945.

The spelling of 1488034800 in words is "one billion, four hundred eighty-eight million, thirty-four thousand, eight hundred".