272400408 has 240 divisors, whose sum is σ = 928612080. Its totient is φ = 74245248.

The previous prime is 272400407. The next prime is 272400419. The reversal of 272400408 is 804004272.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272400407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 730110 + ... + 730482.

It is an arithmetic number, because the mean of its divisors is an integer number (3869217).

Almost surely, 2^272400408 is an apocalyptic number.

272400408 is a gapful number since it is divisible by the number (28) 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 272400408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464306040).

272400408 is an abundant number, since it is smaller than the sum of its proper divisors (656211672).

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

272400408 is a wasteful number, since it uses less digits than its factorization.

272400408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 272400408 is about 16504.5571888494. The cubic root of 272400408 is about 648.2401373358.

The spelling of 272400408 in words is "two hundred seventy-two million, four hundred thousand, four hundred eight".