1046822400 has 480 divisors, whose sum is σ = 4155671520. Its totient is φ = 256573440.

The previous prime is 1046822393. The next prime is 1046822417. The reversal of 1046822400 is 42286401.

It is a tau number, because it is divible by the number of its divisors (480).

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, 4492684 + ... + 4492916.

It is an arithmetic number, because the mean of its divisors is an integer number (8657649).

Almost surely, 2^1046822400 is an apocalyptic number.

1046822400 is a gapful number since it is divisible by the number (10) 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 1046822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077835760).

1046822400 is an abundant number, since it is smaller than the sum of its proper divisors (3108849120).

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

1046822400 is a wasteful number, since it uses less digits than its factorization.

1046822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1046822400 is about 32354.6349075368. The cubic root of 1046822400 is about 1015.3700188620.

The spelling of 1046822400 in words is "one billion, forty-six million, eight hundred twenty-two thousand, four hundred".