272020464 has 80 divisors (see below), whose sum is σ = 807760800. Its totient is φ = 87542784.

The previous prime is 272020457. The next prime is 272020477. The reversal of 272020464 is 464020272.

It is a happy number.

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

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, 1672 + ... + 23384.

It is an arithmetic number, because the mean of its divisors is an integer number (10097010).

Almost surely, 2^272020464 is an apocalyptic number.

272020464 is a gapful number since it is divisible by the number (24) 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 272020464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403880400).

272020464 is an abundant number, since it is smaller than the sum of its proper divisors (535740336).

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

272020464 is a wasteful number, since it uses less digits than its factorization.

272020464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21759 (or 21747 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 272020464 is about 16493.0428969308. The cubic root of 272020464 is about 647.9386087245.

It can be divided in two parts, 272020 and 464, that added together give a square (272484 = 522²).

The spelling of 272020464 in words is "two hundred seventy-two million, twenty thousand, four hundred sixty-four".