1453189920 has 768 divisors, whose sum is σ = 6340239360. Its totient is φ = 270729216.

The previous prime is 1453189891. The next prime is 1453189949. The reversal of 1453189920 is 299813541.

It is an interprime number because it is at equal distance from previous prime (1453189891) and next prime (1453189949).

It is a super-2 number, since 2×1453189920² = 4223521887179212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14108589 + ... + 14108691.

It is an arithmetic number, because the mean of its divisors is an integer number (8255520).

Almost surely, 2^1453189920 is an apocalyptic number.

1453189920 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 1453189920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170119680).

1453189920 is an abundant number, since it is smaller than the sum of its proper divisors (4887049440).

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

1453189920 is a wasteful number, since it uses less digits than its factorization.

1453189920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 1453189920 is about 38120.7282196970. The cubic root of 1453189920 is about 1132.6805914466.

The spelling of 1453189920 in words is "one billion, four hundred fifty-three million, one hundred eighty-nine thousand, nine hundred twenty".