1453402720 has 288 divisors, whose sum is σ = 4591883520. Its totient is φ = 428682240.

The previous prime is 1453402693. The next prime is 1453402733. The reversal of 1453402720 is 272043541.

It is a super-2 number, since 2×1453402720² = 4224758933006796800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 1638117 + ... + 1639003.

It is an arithmetic number, because the mean of its divisors is an integer number (15944040).

Almost surely, 2^1453402720 is an apocalyptic number.

1453402720 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 1453402720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295941760).

1453402720 is an abundant number, since it is smaller than the sum of its proper divisors (3138480800).

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

1453402720 is a wasteful number, since it uses less digits than its factorization.

1453402720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 1453402720 is about 38123.5192499328. The cubic root of 1453402720 is about 1132.7358773300.

The spelling of 1453402720 in words is "one billion, four hundred fifty-three million, four hundred two thousand, seven hundred twenty".