245670400 has 120 divisors (see below), whose sum is σ = 645042420. Its totient is φ = 92405760.

The previous prime is 245670391. The next prime is 245670409. The reversal of 245670400 is 4076542.

It is an interprime number because it is at equal distance from previous prime (245670391) and next prime (245670409).

It can be written as a sum of positive squares in 6 ways, for example, as 66324736 + 179345664 = 8144^2 + 13392^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (245670409) 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, 217036 + ... + 218164.

Almost surely, 2^245670400 is an apocalyptic number.

245670400 is a gapful number since it is divisible by the number (20) 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 245670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322521210).

245670400 is an abundant number, since it is smaller than the sum of its proper divisors (399372020).

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

245670400 is a wasteful number, since it uses less digits than its factorization.

245670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 245670400 is about 15673.8763552607. The cubic root of 245670400 is about 626.3026909078.

The spelling of 245670400 in words is "two hundred forty-five million, six hundred seventy thousand, four hundred".