245416416 has 96 divisors (see below), whose sum is σ = 740855808. Its totient is φ = 69680640.

The previous prime is 245416393. The next prime is 245416441. The reversal of 245416416 is 614614542.

It is a tau number, because it is divible by the number of its divisors (96).

245416416 is a Rhonda number in base 10.

Its product of digits (23040) is a multiple of the sum of its prime factors (2304).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115201 + ... + 117311.

It is an arithmetic number, because the mean of its divisors is an integer number (7717248).

Almost surely, 2^245416416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245416416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370427904).

245416416 is an abundant number, since it is smaller than the sum of its proper divisors (495439392).

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

245416416 is a wasteful number, since it uses less digits than its factorization.

245416416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2296 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 245416416 is about 15665.7721163050. The cubic root of 245416416 is about 626.0867841317.

The spelling of 245416416 in words is "two hundred forty-five million, four hundred sixteen thousand, four hundred sixteen".