1552900 has 36 divisors (see below), whose sum is σ = 3445092. Its totient is φ = 607360.

The previous prime is 1552879. The next prime is 1552909. The reversal of 1552900 is 92551.

It can be written as a sum of positive squares in 6 ways, for example, as 93636 + 1459264 = 306^2 + 1208^2 .

It is a super-2 number, since 2×1552900² = 4822996820000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1552909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5154 + ... + 5446.

It is an arithmetic number, because the mean of its divisors is an integer number (95697).

2^1552900 is an apocalyptic number.

1552900 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 1552900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722546).

1552900 is an abundant number, since it is smaller than the sum of its proper divisors (1892192).

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

1552900 is a wasteful number, since it uses less digits than its factorization.

1552900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 1552900 is about 1246.1540835707. The cubic root of 1552900 is about 115.8015831180.

The spelling of 1552900 in words is "one million, five hundred fifty-two thousand, nine hundred".