2025408 has 112 divisors (see below), whose sum is σ = 6729984. Its totient is φ = 522240.

The previous prime is 2025377. The next prime is 2025409. The reversal of 2025408 is 8045202.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14716 + ... + 14852.

2^2025408 is an apocalyptic number.

2025408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

2025408 is the 822-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2025408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364992).

2025408 is an abundant number, since it is smaller than the sum of its proper divisors (4704576).

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

2025408 is a wasteful number, since it uses less digits than its factorization.

2025408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2025408 is about 1423.1682964428. The cubic root of 2025408 is about 126.5233960278.

The spelling of 2025408 in words is "two million, twenty-five thousand, four hundred eight".