893890464 has 48 divisors (see below), whose sum is σ = 2484494208. Its totient is φ = 280435712.

The previous prime is 893890463. The next prime is 893890489. The reversal of 893890464 is 464098398.

893890464 = 9962² + 9963² + ... + 9970².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (893890463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272232 + ... + 275495.

It is an arithmetic number, because the mean of its divisors is an integer number (51760296).

Almost surely, 2^893890464 is an apocalyptic number.

It is an amenable number.

893890464 is an abundant number, since it is smaller than the sum of its proper divisors (1590603744).

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

893890464 is a wasteful number, since it uses less digits than its factorization.

893890464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547757 (or 547749 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 893890464 is about 29898.0010034116. The cubic root of 893890464 is about 963.2997215583.

The spelling of 893890464 in words is "eight hundred ninety-three million, eight hundred ninety thousand, four hundred sixty-four".