245465040 has 120 divisors (see below), whose sum is σ = 808564320. Its totient is φ = 61589504.

The previous prime is 245464997. The next prime is 245465063. The reversal of 245465040 is 40564542.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 245464989 and 245465007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67591 + ... + 71129.

It is an arithmetic number, because the mean of its divisors is an integer number (6738036).

Almost surely, 2^245465040 is an apocalyptic number.

245465040 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 245465040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404282160).

245465040 is an abundant number, since it is smaller than the sum of its proper divisors (563099280).

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

245465040 is a wasteful number, since it uses less digits than its factorization.

245465040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3589 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 245465040 is about 15667.3239578430. The cubic root of 245465040 is about 626.1281299580.

The spelling of 245465040 in words is "two hundred forty-five million, four hundred sixty-five thousand, forty".