1480226400 has 360 divisors, whose sum is σ = 5512709664. Its totient is φ = 386380800.

The previous prime is 1480226393. The next prime is 1480226411. The reversal of 1480226400 is 46220841.

1480226400 is a `hidden beast` number, since 14 + 8 + 0 + 2 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3434185 + ... + 3434615.

Almost surely, 2^1480226400 is an apocalyptic number.

1480226400 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 1480226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756354832).

1480226400 is an abundant number, since it is smaller than the sum of its proper divisors (4032483264).

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

1480226400 is a wasteful number, since it uses less digits than its factorization.

1480226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1480226400 is about 38473.7105047070. The cubic root of 1480226400 is about 1139.6619496275.

The spelling of 1480226400 in words is "one billion, four hundred eighty million, two hundred twenty-six thousand, four hundred".