27400464 has 320 divisors, whose sum is σ = 104993280. Its totient is φ = 6635520.

The previous prime is 27400427. The next prime is 27400469. The reversal of 27400464 is 46400472.

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

It is not an unprimeable number, because it can be changed into a prime (27400469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 668284 + ... + 668324.

It is an arithmetic number, because the mean of its divisors is an integer number (328104).

Almost surely, 2^27400464 is an apocalyptic number.

27400464 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 27400464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496640).

27400464 is an abundant number, since it is smaller than the sum of its proper divisors (77592816).

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

27400464 is a wasteful number, since it uses less digits than its factorization.

27400464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 83 counting only the distinct ones).

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

The square root of 27400464 is about 5234.5452524551. The cubic root of 27400464 is about 301.4759268916.

The spelling of 27400464 in words is "twenty-seven million, four hundred thousand, four hundred sixty-four".