1046620400 has 180 divisors, whose sum is σ = 2972419128. Its totient is φ = 353041920.

The previous prime is 1046620391. The next prime is 1046620403. The reversal of 1046620400 is 40266401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1046620403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1312802 + ... + 1313598.

Almost surely, 2^1046620400 is an apocalyptic number.

1046620400 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 1046620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486209564).

1046620400 is an abundant number, since it is smaller than the sum of its proper divisors (1925798728).

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

1046620400 is a wasteful number, since it uses less digits than its factorization.

1046620400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 1046620400 is about 32351.5131021719. The cubic root of 1046620400 is about 1015.3047043961.

Adding to 1046620400 its reverse (40266401), we get a palindrome (1086886801).

The spelling of 1046620400 in words is "one billion, forty-six million, six hundred twenty thousand, four hundred".