146976480 has 216 divisors, whose sum is σ = 583724232. Its totient is φ = 33578496.

The previous prime is 146976433. The next prime is 146976491. The reversal of 146976480 is 84679641.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69519 + ... + 71601.

It is an arithmetic number, because the mean of its divisors is an integer number (2702427).

Almost surely, 2^146976480 is an apocalyptic number.

146976480 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 146976480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291862116).

146976480 is an abundant number, since it is smaller than the sum of its proper divisors (436747752).

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

146976480 is a wasteful number, since it uses less digits than its factorization.

146976480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 146976480 is about 12123.3856657289. The cubic root of 146976480 is about 527.7350599179.

It can be divided in two parts, 146976 and 480, that added together give a square (147456 = 384²).

The spelling of 146976480 in words is "one hundred forty-six million, nine hundred seventy-six thousand, four hundred eighty".