803728464 has 240 divisors, whose sum is σ = 2664579456. Its totient is φ = 204272640.

The previous prime is 803728463. The next prime is 803728483. The reversal of 803728464 is 464827308.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803728463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2154582 + ... + 2154954.

Almost surely, 2^803728464 is an apocalyptic number.

803728464 is a gapful number since it is divisible by the number (84) 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 803728464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332289728).

803728464 is an abundant number, since it is smaller than the sum of its proper divisors (1860850992).

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

803728464 is a wasteful number, since it uses less digits than its factorization.

803728464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 803728464 is about 28350.1051849901. The cubic root of 803728464 is about 929.7576984674.

The spelling of 803728464 in words is "eight hundred three million, seven hundred twenty-eight thousand, four hundred sixty-four".