1453210400 has 72 divisors (see below), whose sum is σ = 3561272064. Its totient is φ = 579052800.

The previous prime is 1453210399. The next prime is 1453210411. The reversal of 1453210400 is 40123541.

It is a super-2 number, since 2×1453210400² = 4223640933336320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213449 + ... + 220151.

It is an arithmetic number, because the mean of its divisors is an integer number (49462112).

Almost surely, 2^1453210400 is an apocalyptic number.

1453210400 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 1453210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780636032).

1453210400 is an abundant number, since it is smaller than the sum of its proper divisors (2108061664).

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

1453210400 is a wasteful number, since it uses less digits than its factorization.

1453210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6994 (or 6981 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1453210400 is about 38120.9968390125. The cubic root of 1453210400 is about 1132.6859124280.

Adding to 1453210400 its reverse (40123541), we get a palindrome (1493333941).

The spelling of 1453210400 in words is "one billion, four hundred fifty-three million, two hundred ten thousand, four hundred".