451114380 has 192 divisors, whose sum is σ = 1500266880. Its totient is φ = 112140288.

The previous prime is 451114369. The next prime is 451114381. The reversal of 451114380 is 83411154.

It is a happy number.

451114380 is a `hidden beast` number, since 4 + 511 + 143 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (451114381) 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, 1441104 + ... + 1441416.

It is an arithmetic number, because the mean of its divisors is an integer number (7813890).

Almost surely, 2^451114380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451114380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750133440).

451114380 is an abundant number, since it is smaller than the sum of its proper divisors (1049152500).

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

451114380 is a wasteful number, since it uses less digits than its factorization.

451114380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 451114380 is about 21239.4533827968. The cubic root of 451114380 is about 766.9414738440.

The spelling of 451114380 in words is "four hundred fifty-one million, one hundred fourteen thousand, three hundred eighty".