821150400 has 168 divisors, whose sum is σ = 3079048960. Its totient is φ = 187683840.

The previous prime is 821150357. The next prime is 821150431. The reversal of 821150400 is 4051128.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21381 + ... + 45819.

Almost surely, 2^821150400 is an apocalyptic number.

821150400 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 821150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539524480).

821150400 is an abundant number, since it is smaller than the sum of its proper divisors (2257898560).

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

821150400 is a wasteful number, since it uses less digits than its factorization.

821150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24471 (or 24456 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 821150400 is about 28655.7219416995. The cubic root of 821150400 is about 936.4276663527.

The spelling of 821150400 in words is "eight hundred twenty-one million, one hundred fifty thousand, four hundred".