1485290400 has 288 divisors, whose sum is σ = 5327659008. Its totient is φ = 356428800.

The previous prime is 1485290399. The next prime is 1485290437. The reversal of 1485290400 is 40925841.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3352579 + ... + 3353021.

It is an arithmetic number, because the mean of its divisors is an integer number (18498816).

Almost surely, 2^1485290400 is an apocalyptic number.

1485290400 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 1485290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663829504).

1485290400 is an abundant number, since it is smaller than the sum of its proper divisors (3842368608).

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

1485290400 is a wasteful number, since it uses less digits than its factorization.

1485290400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1485290400 is about 38539.4654866930. The cubic root of 1485290400 is about 1140.9601022293.

The spelling of 1485290400 in words is "one billion, four hundred eighty-five million, two hundred ninety thousand, four hundred".