452761920 has 448 divisors, whose sum is σ = 1792224000. Its totient is φ = 106831872.

The previous prime is 452761919. The next prime is 452761927. The reversal of 452761920 is 29167254.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452761927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3257211 + ... + 3257349.

It is an arithmetic number, because the mean of its divisors is an integer number (4000500).

Almost surely, 2^452761920 is an apocalyptic number.

452761920 is a gapful number since it is divisible by the number (40) 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 452761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896112000).

452761920 is an abundant number, since it is smaller than the sum of its proper divisors (1339462080).

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

452761920 is a wasteful number, since it uses less digits than its factorization.

452761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 452761920 is about 21278.2029316388. The cubic root of 452761920 is about 767.8740027677.

The spelling of 452761920 in words is "four hundred fifty-two million, seven hundred sixty-one thousand, nine hundred twenty".