821480400 has 240 divisors, whose sum is σ = 3149312320. Its totient is φ = 202176000.

The previous prime is 821480389. The next prime is 821480417. The reversal of 821480400 is 4084128.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137475 + ... + 143325.

Almost surely, 2^821480400 is an apocalyptic number.

821480400 is a gapful number since it is divisible by the number (80) 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 821480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574656160).

821480400 is an abundant number, since it is smaller than the sum of its proper divisors (2327831920).

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

821480400 is a wasteful number, since it uses less digits than its factorization.

821480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5891 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 821480400 is about 28661.4793756359. The cubic root of 821480400 is about 936.5530919114.

The spelling of 821480400 in words is "eight hundred twenty-one million, four hundred eighty thousand, four hundred".