1452950400 has 192 divisors, whose sum is σ = 5221094400. Its totient is φ = 352204800.

The previous prime is 1452950393. The next prime is 1452950413. The reversal of 1452950400 is 40592541.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1452950400² = 4222129729720320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 98721 + ... + 112479.

It is an arithmetic number, because the mean of its divisors is an integer number (27193200).

Almost surely, 2^1452950400 is an apocalyptic number.

1452950400 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 1452950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610547200).

1452950400 is an abundant number, since it is smaller than the sum of its proper divisors (3768144000).

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

1452950400 is a wasteful number, since it uses less digits than its factorization.

1452950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13797 (or 13780 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1452950400 is about 38117.5864923266. The cubic root of 1452950400 is about 1132.6183571948.

The spelling of 1452950400 in words is "one billion, four hundred fifty-two million, nine hundred fifty thousand, four hundred".