270413040 has 80 divisors (see below), whose sum is σ = 858757536. Its totient is φ = 70348800.

The previous prime is 270413029. The next prime is 270413051. The reversal of 270413040 is 40314072.

It is an interprime number because it is at equal distance from previous prime (270413029) and next prime (270413051).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 270412998 and 270413016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3901 + ... + 23580.

Almost surely, 2^270413040 is an apocalyptic number.

270413040 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 270413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429378768).

270413040 is an abundant number, since it is smaller than the sum of its proper divisors (588344496).

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

270413040 is a wasteful number, since it uses less digits than its factorization.

270413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27538 (or 27532 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 270413040 is about 16444.2403290635. The cubic root of 270413040 is about 646.6598197218.

The spelling of 270413040 in words is "two hundred seventy million, four hundred thirteen thousand, forty".