365073480 has 288 divisors, whose sum is σ = 1304372160. Its totient is φ = 91808640.

The previous prime is 365073463. The next prime is 365073481. The reversal of 365073480 is 84370563.

It is a happy number.

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 (365073481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5141845 + ... + 5141915.

It is an arithmetic number, because the mean of its divisors is an integer number (4529070).

Almost surely, 2^365073480 is an apocalyptic number.

365073480 is a gapful number since it is divisible by the number (30) 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 365073480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652186080).

365073480 is an abundant number, since it is smaller than the sum of its proper divisors (939298680).

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

365073480 is a wasteful number, since it uses less digits than its factorization.

365073480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 365073480 is about 19106.8961372589. The cubic root of 365073480 is about 714.7049037346.

The spelling of 365073480 in words is "three hundred sixty-five million, seventy-three thousand, four hundred eighty".