25419264 has 160 divisors (see below), whose sum is σ = 77911680. Its totient is φ = 7299072.

The previous prime is 25419239. The next prime is 25419269. The reversal of 25419264 is 46291452.

It is a super-2 number, since 2×25419264² = 1292277964603392, which contains 22 as substring.

Its product of digits (17280) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25419269) 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, 379359 + ... + 379425.

It is an arithmetic number, because the mean of its divisors is an integer number (486948).

Almost surely, 2^25419264 is an apocalyptic number.

25419264 is a gapful number since it is divisible by the number (24) 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 25419264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38955840).

25419264 is an abundant number, since it is smaller than the sum of its proper divisors (52492416).

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

25419264 is a wasteful number, since it uses less digits than its factorization.

25419264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 104 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 25419264 is about 5041.7520764115. The cubic root of 25419264 is about 294.0273009031.

It can be divided in two parts, 25419 and 264, that multiplied together give a triangular number (6710616 = T₃₆₆₃).

The spelling of 25419264 in words is "twenty-five million, four hundred nineteen thousand, two hundred sixty-four".