896264460 has 576 divisors, whose sum is σ = 3659765760. Its totient is φ = 177914880.

The previous prime is 896264441. The next prime is 896264477. The reversal of 896264460 is 64462698.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14692830 + ... + 14692890.

It is an arithmetic number, because the mean of its divisors is an integer number (6353760).

Almost surely, 2^896264460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 896264460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829882880).

896264460 is an abundant number, since it is smaller than the sum of its proper divisors (2763501300).

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

896264460 is a wasteful number, since it uses less digits than its factorization.

896264460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 896264460 is about 29937.6762625291. The cubic root of 896264460 is about 964.1517454802.

It can be divided in two parts, 896 and 264460, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 896264460 in words is "eight hundred ninety-six million, two hundred sixty-four thousand, four hundred sixty".