1952500 has 60 divisors (see below), whose sum is σ = 4723488. Its totient is φ = 700000.

The previous prime is 1952479. The next prime is 1952519. The reversal of 1952500 is 52591.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27465 + ... + 27535.

2^1952500 is an apocalyptic number.

1952500 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 1952500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361744).

1952500 is an abundant number, since it is smaller than the sum of its proper divisors (2770988).

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

1952500 is a wasteful number, since it uses less digits than its factorization.

1952500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 89 counting only the distinct ones).

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

The square root of 1952500 is about 1397.3188612482. The cubic root of 1952500 is about 124.9866652442.

The spelling of 1952500 in words is "one million, nine hundred fifty-two thousand, five hundred".