245796480 has 192 divisors, whose sum is σ = 857656800. Its totient is φ = 64862208.

The previous prime is 245796451. The next prime is 245796487. The reversal of 245796480 is 84697542.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (245796487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800487 + ... + 800793.

Almost surely, 2^245796480 is an apocalyptic number.

245796480 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 245796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428828400).

245796480 is an abundant number, since it is smaller than the sum of its proper divisors (611860320).

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

245796480 is a wasteful number, since it uses less digits than its factorization.

245796480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 245796480 is about 15677.8978182663. The cubic root of 245796480 is about 626.4098137558.

The spelling of 245796480 in words is "two hundred forty-five million, seven hundred ninety-six thousand, four hundred eighty".