1580400 has 90 divisors (see below), whose sum is σ = 5496920. Its totient is φ = 420480.

The previous prime is 1580393. The next prime is 1580417. The reversal of 1580400 is 40851.

1580400 = T₃₄₃ + T₃₄₄ + ... + T₃₆₇.

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3381 + ... + 3819.

2^1580400 is an apocalyptic number.

1580400 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 1580400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748460).

1580400 is an abundant number, since it is smaller than the sum of its proper divisors (3916520).

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

1580400 is a wasteful number, since it uses less digits than its factorization.

1580400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1580400 is about 1257.1396103854. The cubic root of 1580400 is about 116.4811564259.

The spelling of 1580400 in words is "one million, five hundred eighty thousand, four hundred".