1467940320 has 480 divisors, whose sum is σ = 6463328256. Its totient is φ = 304819200.

The previous prime is 1467940301. The next prime is 1467940333. The reversal of 1467940320 is 230497641.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 997185 + ... + 998655.

Almost surely, 2^1467940320 is an apocalyptic number.

1467940320 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 1467940320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231664128).

1467940320 is an abundant number, since it is smaller than the sum of its proper divisors (4995387936).

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

1467940320 is a wasteful number, since it uses less digits than its factorization.

1467940320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1467940320 is about 38313.7092957599. The cubic root of 1467940320 is about 1136.5000691309.

The spelling of 1467940320 in words is "one billion, four hundred sixty-seven million, nine hundred forty thousand, three hundred twenty".