284990400 has 252 divisors, whose sum is σ = 1051871912. Its totient is φ = 75893760.

The previous prime is 284990399. The next prime is 284990411. The reversal of 284990400 is 4099482.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 388434 + ... + 389166.

Almost surely, 2^284990400 is an apocalyptic number.

284990400 is a gapful number since it is divisible by the number (20) 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 284990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525935956).

284990400 is an abundant number, since it is smaller than the sum of its proper divisors (766881512).

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

284990400 is an equidigital number, since it uses as much as digits as its factorization.

284990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 284990400 is about 16881.6586862784. The cubic root of 284990400 is about 658.0770474229.

It can be divided in two parts, 284990 and 400, that added together give a triangular number (285390 = T₇₅₅).

The spelling of 284990400 in words is "two hundred eighty-four million, nine hundred ninety thousand, four hundred".