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1485012480 = 29357231201
BaseRepresentation
bin101100010000011…
…0111111000000000
310211111022110011020
41120200313320000
511020130344410
6403204545440
751541253310
oct13040677000
93744273136
101485012480
116a2283946
123553b2280
131a8875513
14101321440
158a588a70
hex58837e00

1485012480 has 320 divisors, whose sum is σ = 5666208768. Its totient is φ = 324403200.

The previous prime is 1485012467. The next prime is 1485012493. The reversal of 1485012480 is 842105841.

It is an interprime number because it is at equal distance from previous prime (1485012467) and next prime (1485012493).

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1235880 + ... + 1237080.

Almost surely, 21485012480 is an apocalyptic number.

1485012480 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 1485012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833104384).

1485012480 is an abundant number, since it is smaller than the sum of its proper divisors (4181196288).

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

1485012480 is a wasteful number, since it uses less digits than its factorization.

1485012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 1485012480 is about 38535.8596634356. The cubic root of 1485012480 is about 1140.8889342361. Note that the first 3 decimals are identical.

The spelling of 1485012480 in words is "one billion, four hundred eighty-five million, twelve thousand, four hundred eighty".