1520400 has 120 divisors (see below), whose sum is σ = 5596864. Its totient is φ = 345600.

The previous prime is 1520381. The next prime is 1520401. The reversal of 1520400 is 40251.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1520401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8310 + ... + 8490.

2^1520400 is an apocalyptic number.

1520400 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 1520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798432).

1520400 is an abundant number, since it is smaller than the sum of its proper divisors (4076464).

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

1520400 is a wasteful number, since it uses less digits than its factorization.

1520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 1520400 is about 1233.0450113439. The cubic root of 1520400 is about 114.9880264787.

Adding to 1520400 its reverse (40251), we get a palindrome (1560651).

The spelling of 1520400 in words is "one million, five hundred twenty thousand, four hundred".